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Finding the Fourth Proportional to 5,190,572.44, 7,786,603.15 and 1,596,642.54

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Solution

The fourth proportional to 5,190,572.44, 7,786,603.15 and 1,596,642.54 is: 2,395,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190,572.44 : 7,786,603.15 = 1,596,642.54 : x
  2. Step 2: Convert to fraction form
    5,190,572.44/7,786,603.15 = 1,596,642.54/x
  3. Step 3: Cross multiply
    5,190,572.44x = 7,786,603.15 × 1,596,642.54
  4. Step 4: Simplify right side
    5,190,572.44x = 12,432,421,807,177.75
  5. Step 5: Solve for x
    x = 12,432,421,807,177.75/5,190,572.44
  6. Step 6: Final answer
    x = 2,395,192.81

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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.