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Finding the Fourth Proportional to 5,714.50, 8,564.68 and 3,372.13

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Solution

The fourth proportional to 5,714.50, 8,564.68 and 3,372.13 is: 5,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.50 : 8,564.68 = 3,372.13 : x
  2. Step 2: Convert to fraction form
    5,714.50/8,564.68 = 3,372.13/x
  3. Step 3: Cross multiply
    5,714.50x = 8,564.68 × 3,372.13
  4. Step 4: Simplify right side
    5,714.50x = 28,881,154.68
  5. Step 5: Solve for x
    x = 28,881,154.68/5,714.50
  6. Step 6: Final answer
    x = 5,054.02

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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.