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Finding the Fourth Proportional to 3,862.33, 5,792.13 and 2,382.35

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Solution

The fourth proportional to 3,862.33, 5,792.13 and 2,382.35 is: 3,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.33 : 5,792.13 = 2,382.35 : x
  2. Step 2: Convert to fraction form
    3,862.33/5,792.13 = 2,382.35/x
  3. Step 3: Cross multiply
    3,862.33x = 5,792.13 × 2,382.35
  4. Step 4: Simplify right side
    3,862.33x = 13,798,883.08
  5. Step 5: Solve for x
    x = 13,798,883.08/3,862.33
  6. Step 6: Final answer
    x = 3,572.68

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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.