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Finding the Fourth Proportional to 5,200,999.70, 7,786,293.15 and 3,708,007.70

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Solution

The fourth proportional to 5,200,999.70, 7,786,293.15 and 3,708,007.70 is: 5,551,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,999.70 : 7,786,293.15 = 3,708,007.70 : x
  2. Step 2: Convert to fraction form
    5,200,999.70/7,786,293.15 = 3,708,007.70/x
  3. Step 3: Cross multiply
    5,200,999.70x = 7,786,293.15 × 3,708,007.70
  4. Step 4: Simplify right side
    5,200,999.70x = 28,871,634,954,657.26
  5. Step 5: Solve for x
    x = 28,871,634,954,657.26/5,200,999.70
  6. Step 6: Final answer
    x = 5,551,170.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.