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Finding the Fourth Proportional to 3,872.71, 5,345.56 and 2,475.46

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Solution

The fourth proportional to 3,872.71, 5,345.56 and 2,475.46 is: 3,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.71 : 5,345.56 = 2,475.46 : x
  2. Step 2: Convert to fraction form
    3,872.71/5,345.56 = 2,475.46/x
  3. Step 3: Cross multiply
    3,872.71x = 5,345.56 × 2,475.46
  4. Step 4: Simplify right side
    3,872.71x = 13,232,719.96
  5. Step 5: Solve for x
    x = 13,232,719.96/3,872.71
  6. Step 6: Final answer
    x = 3,416.91

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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.