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Finding the Fourth Proportional to 5,552.31, 7,649.16 and 3,870.69

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Solution

The fourth proportional to 5,552.31, 7,649.16 and 3,870.69 is: 5,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.31 : 7,649.16 = 3,870.69 : x
  2. Step 2: Convert to fraction form
    5,552.31/7,649.16 = 3,870.69/x
  3. Step 3: Cross multiply
    5,552.31x = 7,649.16 × 3,870.69
  4. Step 4: Simplify right side
    5,552.31x = 29,607,527.12
  5. Step 5: Solve for x
    x = 29,607,527.12/5,552.31
  6. Step 6: Final answer
    x = 5,332.47

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