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Finding the Fourth Proportional to 5,442.08, 7,510.17 and 3,204.02

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Solution

The fourth proportional to 5,442.08, 7,510.17 and 3,204.02 is: 4,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.08 : 7,510.17 = 3,204.02 : x
  2. Step 2: Convert to fraction form
    5,442.08/7,510.17 = 3,204.02/x
  3. Step 3: Cross multiply
    5,442.08x = 7,510.17 × 3,204.02
  4. Step 4: Simplify right side
    5,442.08x = 24,062,734.88
  5. Step 5: Solve for x
    x = 24,062,734.88/5,442.08
  6. Step 6: Final answer
    x = 4,421.61

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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.