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Finding the Fourth Proportional to 6,508.53, 8,982.23 and 3,714.03

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Solution

The fourth proportional to 6,508.53, 8,982.23 and 3,714.03 is: 5,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.53 : 8,982.23 = 3,714.03 : x
  2. Step 2: Convert to fraction form
    6,508.53/8,982.23 = 3,714.03/x
  3. Step 3: Cross multiply
    6,508.53x = 8,982.23 × 3,714.03
  4. Step 4: Simplify right side
    6,508.53x = 33,360,253.12
  5. Step 5: Solve for x
    x = 33,360,253.12/6,508.53
  6. Step 6: Final answer
    x = 5,125.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.