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Finding the Fourth Proportional to 3,538.98, 4,882.95 and 2,656.89

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Solution

The fourth proportional to 3,538.98, 4,882.95 and 2,656.89 is: 3,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.98 : 4,882.95 = 2,656.89 : x
  2. Step 2: Convert to fraction form
    3,538.98/4,882.95 = 2,656.89/x
  3. Step 3: Cross multiply
    3,538.98x = 4,882.95 × 2,656.89
  4. Step 4: Simplify right side
    3,538.98x = 12,973,461.03
  5. Step 5: Solve for x
    x = 12,973,461.03/3,538.98
  6. Step 6: Final answer
    x = 3,665.88

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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.