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Finding the Fourth Proportional to 5,154.62, 7,714.82 and 4,693.46

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Solution

The fourth proportional to 5,154.62, 7,714.82 and 4,693.46 is: 7,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.62 : 7,714.82 = 4,693.46 : x
  2. Step 2: Convert to fraction form
    5,154.62/7,714.82 = 4,693.46/x
  3. Step 3: Cross multiply
    5,154.62x = 7,714.82 × 4,693.46
  4. Step 4: Simplify right side
    5,154.62x = 36,209,230.10
  5. Step 5: Solve for x
    x = 36,209,230.10/5,154.62
  6. Step 6: Final answer
    x = 7,024.61

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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.