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Finding the Fourth Proportional to 5,376.17, 7,414.22 and 3,485.78

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Solution

The fourth proportional to 5,376.17, 7,414.22 and 3,485.78 is: 4,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.17 : 7,414.22 = 3,485.78 : x
  2. Step 2: Convert to fraction form
    5,376.17/7,414.22 = 3,485.78/x
  3. Step 3: Cross multiply
    5,376.17x = 7,414.22 × 3,485.78
  4. Step 4: Simplify right side
    5,376.17x = 25,844,285.29
  5. Step 5: Solve for x
    x = 25,844,285.29/5,376.17
  6. Step 6: Final answer
    x = 4,807.20

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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.