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Finding the Fourth Proportional to 3,966.98, 5,946.16 and 2,581.30

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Solution

The fourth proportional to 3,966.98, 5,946.16 and 2,581.30 is: 3,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.98 : 5,946.16 = 2,581.30 : x
  2. Step 2: Convert to fraction form
    3,966.98/5,946.16 = 2,581.30/x
  3. Step 3: Cross multiply
    3,966.98x = 5,946.16 × 2,581.30
  4. Step 4: Simplify right side
    3,966.98x = 15,348,822.81
  5. Step 5: Solve for x
    x = 15,348,822.81/3,966.98
  6. Step 6: Final answer
    x = 3,869.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.