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Finding the Fourth Proportional to 5,070.96, 7,607.52 and 2,149.20

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Solution

The fourth proportional to 5,070.96, 7,607.52 and 2,149.20 is: 3,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.96 : 7,607.52 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    5,070.96/7,607.52 = 2,149.20/x
  3. Step 3: Cross multiply
    5,070.96x = 7,607.52 × 2,149.20
  4. Step 4: Simplify right side
    5,070.96x = 16,350,081.98
  5. Step 5: Solve for x
    x = 16,350,081.98/5,070.96
  6. Step 6: Final answer
    x = 3,224.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.