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Finding the Fourth Proportional to 3,966.15, 5,472.52 and 2,547.64

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Solution

The fourth proportional to 3,966.15, 5,472.52 and 2,547.64 is: 3,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.15 : 5,472.52 = 2,547.64 : x
  2. Step 2: Convert to fraction form
    3,966.15/5,472.52 = 2,547.64/x
  3. Step 3: Cross multiply
    3,966.15x = 5,472.52 × 2,547.64
  4. Step 4: Simplify right side
    3,966.15x = 13,942,010.85
  5. Step 5: Solve for x
    x = 13,942,010.85/3,966.15
  6. Step 6: Final answer
    x = 3,515.25

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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.