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Finding the Fourth Proportional to 3,358.71, 5,038.47 and 3,174.39

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Solution

The fourth proportional to 3,358.71, 5,038.47 and 3,174.39 is: 4,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.71 : 5,038.47 = 3,174.39 : x
  2. Step 2: Convert to fraction form
    3,358.71/5,038.47 = 3,174.39/x
  3. Step 3: Cross multiply
    3,358.71x = 5,038.47 × 3,174.39
  4. Step 4: Simplify right side
    3,358.71x = 15,994,068.78
  5. Step 5: Solve for x
    x = 15,994,068.78/3,358.71
  6. Step 6: Final answer
    x = 4,761.97

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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.