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Finding the Fourth Proportional to 3,524.88, 5,289.12 and 1,577.28

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Solution

The fourth proportional to 3,524.88, 5,289.12 and 1,577.28 is: 2,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.88 : 5,289.12 = 1,577.28 : x
  2. Step 2: Convert to fraction form
    3,524.88/5,289.12 = 1,577.28/x
  3. Step 3: Cross multiply
    3,524.88x = 5,289.12 × 1,577.28
  4. Step 4: Simplify right side
    3,524.88x = 8,342,423.19
  5. Step 5: Solve for x
    x = 8,342,423.19/3,524.88
  6. Step 6: Final answer
    x = 2,366.73

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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.