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Finding the Fourth Proportional to 5,829.90, 8,732.52 and 4,714.53

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Solution

The fourth proportional to 5,829.90, 8,732.52 and 4,714.53 is: 7,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.90 : 8,732.52 = 4,714.53 : x
  2. Step 2: Convert to fraction form
    5,829.90/8,732.52 = 4,714.53/x
  3. Step 3: Cross multiply
    5,829.90x = 8,732.52 × 4,714.53
  4. Step 4: Simplify right side
    5,829.90x = 41,169,727.52
  5. Step 5: Solve for x
    x = 41,169,727.52/5,829.90
  6. Step 6: Final answer
    x = 7,061.82

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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.