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Finding the Fourth Proportional to 3,957.75, 5,461.71 and 2,386.17

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Solution

The fourth proportional to 3,957.75, 5,461.71 and 2,386.17 is: 3,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.75 : 5,461.71 = 2,386.17 : x
  2. Step 2: Convert to fraction form
    3,957.75/5,461.71 = 2,386.17/x
  3. Step 3: Cross multiply
    3,957.75x = 5,461.71 × 2,386.17
  4. Step 4: Simplify right side
    3,957.75x = 13,032,568.55
  5. Step 5: Solve for x
    x = 13,032,568.55/3,957.75
  6. Step 6: Final answer
    x = 3,292.92

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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.