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Finding the Fourth Proportional to 5,588.96, 7,712.37 and 3,349.71

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Solution

The fourth proportional to 5,588.96, 7,712.37 and 3,349.71 is: 4,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.96 : 7,712.37 = 3,349.71 : x
  2. Step 2: Convert to fraction form
    5,588.96/7,712.37 = 3,349.71/x
  3. Step 3: Cross multiply
    5,588.96x = 7,712.37 × 3,349.71
  4. Step 4: Simplify right side
    5,588.96x = 25,834,202.91
  5. Step 5: Solve for x
    x = 25,834,202.91/5,588.96
  6. Step 6: Final answer
    x = 4,622.37

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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.