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Finding the Fourth Proportional to 3,962.32, 5,468.07 and 2,283.44

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Solution

The fourth proportional to 3,962.32, 5,468.07 and 2,283.44 is: 3,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.32 : 5,468.07 = 2,283.44 : x
  2. Step 2: Convert to fraction form
    3,962.32/5,468.07 = 2,283.44/x
  3. Step 3: Cross multiply
    3,962.32x = 5,468.07 × 2,283.44
  4. Step 4: Simplify right side
    3,962.32x = 12,486,009.76
  5. Step 5: Solve for x
    x = 12,486,009.76/3,962.32
  6. Step 6: Final answer
    x = 3,151.19

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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.