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Finding the Fourth Proportional to 4,057.90, 6,078.74 and 3,715.26

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Solution

The fourth proportional to 4,057.90, 6,078.74 and 3,715.26 is: 5,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.90 : 6,078.74 = 3,715.26 : x
  2. Step 2: Convert to fraction form
    4,057.90/6,078.74 = 3,715.26/x
  3. Step 3: Cross multiply
    4,057.90x = 6,078.74 × 3,715.26
  4. Step 4: Simplify right side
    4,057.90x = 22,584,099.57
  5. Step 5: Solve for x
    x = 22,584,099.57/4,057.90
  6. Step 6: Final answer
    x = 5,565.46

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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.