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Finding the Fourth Proportional to 5,557.50, 7,665.71 and 3,564.90

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Solution

The fourth proportional to 5,557.50, 7,665.71 and 3,564.90 is: 4,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.50 : 7,665.71 = 3,564.90 : x
  2. Step 2: Convert to fraction form
    5,557.50/7,665.71 = 3,564.90/x
  3. Step 3: Cross multiply
    5,557.50x = 7,665.71 × 3,564.90
  4. Step 4: Simplify right side
    5,557.50x = 27,327,471.75
  5. Step 5: Solve for x
    x = 27,327,471.75/5,557.50
  6. Step 6: Final answer
    x = 4,917.22

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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.