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Finding the Fourth Proportional to 3,577.44, 5,363.28 and 1,526.88

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Solution

The fourth proportional to 3,577.44, 5,363.28 and 1,526.88 is: 2,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.44 : 5,363.28 = 1,526.88 : x
  2. Step 2: Convert to fraction form
    3,577.44/5,363.28 = 1,526.88/x
  3. Step 3: Cross multiply
    3,577.44x = 5,363.28 × 1,526.88
  4. Step 4: Simplify right side
    3,577.44x = 8,189,084.97
  5. Step 5: Solve for x
    x = 8,189,084.97/3,577.44
  6. Step 6: Final answer
    x = 2,289.09

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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.