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Finding the Fourth Proportional to 3,962.98, 5,468.34 and 2,283.72

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Solution

The fourth proportional to 3,962.98, 5,468.34 and 2,283.72 is: 3,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.98 : 5,468.34 = 2,283.72 : x
  2. Step 2: Convert to fraction form
    3,962.98/5,468.34 = 2,283.72/x
  3. Step 3: Cross multiply
    3,962.98x = 5,468.34 × 2,283.72
  4. Step 4: Simplify right side
    3,962.98x = 12,488,157.42
  5. Step 5: Solve for x
    x = 12,488,157.42/3,962.98
  6. Step 6: Final answer
    x = 3,151.20

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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.