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Finding the Fourth Proportional to 5,221.06, 7,207.68 and 3,404.90

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Solution

The fourth proportional to 5,221.06, 7,207.68 and 3,404.90 is: 4,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.06 : 7,207.68 = 3,404.90 : x
  2. Step 2: Convert to fraction form
    5,221.06/7,207.68 = 3,404.90/x
  3. Step 3: Cross multiply
    5,221.06x = 7,207.68 × 3,404.90
  4. Step 4: Simplify right side
    5,221.06x = 24,541,460.42
  5. Step 5: Solve for x
    x = 24,541,460.42/5,221.06
  6. Step 6: Final answer
    x = 4,700.48

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