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Finding the Fourth Proportional to 4,158.78, 6,238.74 and 3,419.12

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Solution

The fourth proportional to 4,158.78, 6,238.74 and 3,419.12 is: 5,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.78 : 6,238.74 = 3,419.12 : x
  2. Step 2: Convert to fraction form
    4,158.78/6,238.74 = 3,419.12/x
  3. Step 3: Cross multiply
    4,158.78x = 6,238.74 × 3,419.12
  4. Step 4: Simplify right side
    4,158.78x = 21,331,000.71
  5. Step 5: Solve for x
    x = 21,331,000.71/4,158.78
  6. Step 6: Final answer
    x = 5,129.15

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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.