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Finding the Fourth Proportional to 5,054.16, 6,972.84 and 3,287.28

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Solution

The fourth proportional to 5,054.16, 6,972.84 and 3,287.28 is: 4,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.16 : 6,972.84 = 3,287.28 : x
  2. Step 2: Convert to fraction form
    5,054.16/6,972.84 = 3,287.28/x
  3. Step 3: Cross multiply
    5,054.16x = 6,972.84 × 3,287.28
  4. Step 4: Simplify right side
    5,054.16x = 22,921,677.48
  5. Step 5: Solve for x
    x = 22,921,677.48/5,054.16
  6. Step 6: Final answer
    x = 4,535.21

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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.