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Finding the Fourth Proportional to 3,792.64, 5,681.58 and 2,144.20

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Solution

The fourth proportional to 3,792.64, 5,681.58 and 2,144.20 is: 3,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.64 : 5,681.58 = 2,144.20 : x
  2. Step 2: Convert to fraction form
    3,792.64/5,681.58 = 2,144.20/x
  3. Step 3: Cross multiply
    3,792.64x = 5,681.58 × 2,144.20
  4. Step 4: Simplify right side
    3,792.64x = 12,182,443.84
  5. Step 5: Solve for x
    x = 12,182,443.84/3,792.64
  6. Step 6: Final answer
    x = 3,212.13

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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.