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Finding the Fourth Proportional to 5,062.08, 7,597.17 and 2,142.42

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Solution

The fourth proportional to 5,062.08, 7,597.17 and 2,142.42 is: 3,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.08 : 7,597.17 = 2,142.42 : x
  2. Step 2: Convert to fraction form
    5,062.08/7,597.17 = 2,142.42/x
  3. Step 3: Cross multiply
    5,062.08x = 7,597.17 × 2,142.42
  4. Step 4: Simplify right side
    5,062.08x = 16,276,328.95
  5. Step 5: Solve for x
    x = 16,276,328.95/5,062.08
  6. Step 6: Final answer
    x = 3,215.34

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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.