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Finding the Fourth Proportional to 5,872.64, 8,806.56 and 2,175.12

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Solution

The fourth proportional to 5,872.64, 8,806.56 and 2,175.12 is: 3,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.64 : 8,806.56 = 2,175.12 : x
  2. Step 2: Convert to fraction form
    5,872.64/8,806.56 = 2,175.12/x
  3. Step 3: Cross multiply
    5,872.64x = 8,806.56 × 2,175.12
  4. Step 4: Simplify right side
    5,872.64x = 19,155,324.79
  5. Step 5: Solve for x
    x = 19,155,324.79/5,872.64
  6. Step 6: Final answer
    x = 3,261.79

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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.