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Finding the Fourth Proportional to 5,737.69, 8,606.96 and 2,402.60

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Solution

The fourth proportional to 5,737.69, 8,606.96 and 2,402.60 is: 3,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.69 : 8,606.96 = 2,402.60 : x
  2. Step 2: Convert to fraction form
    5,737.69/8,606.96 = 2,402.60/x
  3. Step 3: Cross multiply
    5,737.69x = 8,606.96 × 2,402.60
  4. Step 4: Simplify right side
    5,737.69x = 20,679,036.06
  5. Step 5: Solve for x
    x = 20,679,036.06/5,737.69
  6. Step 6: Final answer
    x = 3,604.07

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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.