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Finding the Fourth Proportional to 5,569.64, 7,666.62 and 5,044.76

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Solution

The fourth proportional to 5,569.64, 7,666.62 and 5,044.76 is: 6,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.64 : 7,666.62 = 5,044.76 : x
  2. Step 2: Convert to fraction form
    5,569.64/7,666.62 = 5,044.76/x
  3. Step 3: Cross multiply
    5,569.64x = 7,666.62 × 5,044.76
  4. Step 4: Simplify right side
    5,569.64x = 38,676,257.91
  5. Step 5: Solve for x
    x = 38,676,257.91/5,569.64
  6. Step 6: Final answer
    x = 6,944.12

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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.