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Finding the Fourth Proportional to 3,966.84, 5,472.90 and 2,569.86

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Solution

The fourth proportional to 3,966.84, 5,472.90 and 2,569.86 is: 3,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.84 : 5,472.90 = 2,569.86 : x
  2. Step 2: Convert to fraction form
    3,966.84/5,472.90 = 2,569.86/x
  3. Step 3: Cross multiply
    3,966.84x = 5,472.90 × 2,569.86
  4. Step 4: Simplify right side
    3,966.84x = 14,064,586.79
  5. Step 5: Solve for x
    x = 14,064,586.79/3,966.84
  6. Step 6: Final answer
    x = 3,545.54

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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.