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Finding the Fourth Proportional to 5,627.03, 7,760.26 and 4,685.94

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Solution

The fourth proportional to 5,627.03, 7,760.26 and 4,685.94 is: 6,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.03 : 7,760.26 = 4,685.94 : x
  2. Step 2: Convert to fraction form
    5,627.03/7,760.26 = 4,685.94/x
  3. Step 3: Cross multiply
    5,627.03x = 7,760.26 × 4,685.94
  4. Step 4: Simplify right side
    5,627.03x = 36,364,050.51
  5. Step 5: Solve for x
    x = 36,364,050.51/5,627.03
  6. Step 6: Final answer
    x = 6,462.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.