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Finding the Fourth Proportional to 3,872.40, 5,809.16 and 1,681.12

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Solution

The fourth proportional to 3,872.40, 5,809.16 and 1,681.12 is: 2,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.40 : 5,809.16 = 1,681.12 : x
  2. Step 2: Convert to fraction form
    3,872.40/5,809.16 = 1,681.12/x
  3. Step 3: Cross multiply
    3,872.40x = 5,809.16 × 1,681.12
  4. Step 4: Simplify right side
    3,872.40x = 9,765,895.06
  5. Step 5: Solve for x
    x = 9,765,895.06/3,872.40
  6. Step 6: Final answer
    x = 2,521.92

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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.