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Finding the Fourth Proportional to 5,044.96, 7,565.82 and 1,666.99

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Solution

The fourth proportional to 5,044.96, 7,565.82 and 1,666.99 is: 2,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.96 : 7,565.82 = 1,666.99 : x
  2. Step 2: Convert to fraction form
    5,044.96/7,565.82 = 1,666.99/x
  3. Step 3: Cross multiply
    5,044.96x = 7,565.82 × 1,666.99
  4. Step 4: Simplify right side
    5,044.96x = 12,612,146.28
  5. Step 5: Solve for x
    x = 12,612,146.28/5,044.96
  6. Step 6: Final answer
    x = 2,499.95

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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.