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Finding the Fourth Proportional to 5,966.43, 8,952.51 and 2,459

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Solution

The fourth proportional to 5,966.43, 8,952.51 and 2,459 is: 3,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.43 : 8,952.51 = 2,459 : x
  2. Step 2: Convert to fraction form
    5,966.43/8,952.51 = 2,459/x
  3. Step 3: Cross multiply
    5,966.43x = 8,952.51 × 2,459
  4. Step 4: Simplify right side
    5,966.43x = 22,014,222.09
  5. Step 5: Solve for x
    x = 22,014,222.09/5,966.43
  6. Step 6: Final answer
    x = 3,689.68

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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.