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Finding the Fourth Proportional to 5,838.71, 8,731.46 and 4,358.97

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Solution

The fourth proportional to 5,838.71, 8,731.46 and 4,358.97 is: 6,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.71 : 8,731.46 = 4,358.97 : x
  2. Step 2: Convert to fraction form
    5,838.71/8,731.46 = 4,358.97/x
  3. Step 3: Cross multiply
    5,838.71x = 8,731.46 × 4,358.97
  4. Step 4: Simplify right side
    5,838.71x = 38,060,150.40
  5. Step 5: Solve for x
    x = 38,060,150.40/5,838.71
  6. Step 6: Final answer
    x = 6,518.59

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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.