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Finding the Fourth Proportional to 3,630.12, 5,444.54 and 1,577

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Solution

The fourth proportional to 3,630.12, 5,444.54 and 1,577 is: 2,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.12 : 5,444.54 = 1,577 : x
  2. Step 2: Convert to fraction form
    3,630.12/5,444.54 = 1,577/x
  3. Step 3: Cross multiply
    3,630.12x = 5,444.54 × 1,577
  4. Step 4: Simplify right side
    3,630.12x = 8,586,039.58
  5. Step 5: Solve for x
    x = 8,586,039.58/3,630.12
  6. Step 6: Final answer
    x = 2,365.22

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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.