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Finding the Fourth Proportional to 3,802.32, 5,702.94 and 1,029.24

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Solution

The fourth proportional to 3,802.32, 5,702.94 and 1,029.24 is: 1,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.32 : 5,702.94 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    3,802.32/5,702.94 = 1,029.24/x
  3. Step 3: Cross multiply
    3,802.32x = 5,702.94 × 1,029.24
  4. Step 4: Simplify right side
    3,802.32x = 5,869,693.97
  5. Step 5: Solve for x
    x = 5,869,693.97/3,802.32
  6. Step 6: Final answer
    x = 1,543.71

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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.