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Finding the Fourth Proportional to 3,872.41, 5,345.12 and 2,475.16

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Solution

The fourth proportional to 3,872.41, 5,345.12 and 2,475.16 is: 3,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.41 : 5,345.12 = 2,475.16 : x
  2. Step 2: Convert to fraction form
    3,872.41/5,345.12 = 2,475.16/x
  3. Step 3: Cross multiply
    3,872.41x = 5,345.12 × 2,475.16
  4. Step 4: Simplify right side
    3,872.41x = 13,230,020.04
  5. Step 5: Solve for x
    x = 13,230,020.04/3,872.41
  6. Step 6: Final answer
    x = 3,416.48

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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.