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Finding the Fourth Proportional to 3,462.48, 5,200.20 and 3,025.08

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Solution

The fourth proportional to 3,462.48, 5,200.20 and 3,025.08 is: 4,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.48 : 5,200.20 = 3,025.08 : x
  2. Step 2: Convert to fraction form
    3,462.48/5,200.20 = 3,025.08/x
  3. Step 3: Cross multiply
    3,462.48x = 5,200.20 × 3,025.08
  4. Step 4: Simplify right side
    3,462.48x = 15,731,021.02
  5. Step 5: Solve for x
    x = 15,731,021.02/3,462.48
  6. Step 6: Final answer
    x = 4,543.28

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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.