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Finding the Fourth Proportional to 5,948.66, 8,920.40 and 3,174.71

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Solution

The fourth proportional to 5,948.66, 8,920.40 and 3,174.71 is: 4,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.66 : 8,920.40 = 3,174.71 : x
  2. Step 2: Convert to fraction form
    5,948.66/8,920.40 = 3,174.71/x
  3. Step 3: Cross multiply
    5,948.66x = 8,920.40 × 3,174.71
  4. Step 4: Simplify right side
    5,948.66x = 28,319,683.08
  5. Step 5: Solve for x
    x = 28,319,683.08/5,948.66
  6. Step 6: Final answer
    x = 4,760.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.