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Finding the Fourth Proportional to 5,078.42, 7,610.49 and 2,407.18

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Solution

The fourth proportional to 5,078.42, 7,610.49 and 2,407.18 is: 3,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.42 : 7,610.49 = 2,407.18 : x
  2. Step 2: Convert to fraction form
    5,078.42/7,610.49 = 2,407.18/x
  3. Step 3: Cross multiply
    5,078.42x = 7,610.49 × 2,407.18
  4. Step 4: Simplify right side
    5,078.42x = 18,319,819.32
  5. Step 5: Solve for x
    x = 18,319,819.32/5,078.42
  6. Step 6: Final answer
    x = 3,607.39

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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.