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Finding the Fourth Proportional to 3,862.26, 5,802.62 and 2,478.29

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Solution

The fourth proportional to 3,862.26, 5,802.62 and 2,478.29 is: 3,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.26 : 5,802.62 = 2,478.29 : x
  2. Step 2: Convert to fraction form
    3,862.26/5,802.62 = 2,478.29/x
  3. Step 3: Cross multiply
    3,862.26x = 5,802.62 × 2,478.29
  4. Step 4: Simplify right side
    3,862.26x = 14,380,533.72
  5. Step 5: Solve for x
    x = 14,380,533.72/3,862.26
  6. Step 6: Final answer
    x = 3,723.35

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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.