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Finding the Fourth Proportional to 3,660.95, 5,494.50 and 1,582.53

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Solution

The fourth proportional to 3,660.95, 5,494.50 and 1,582.53 is: 2,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.95 : 5,494.50 = 1,582.53 : x
  2. Step 2: Convert to fraction form
    3,660.95/5,494.50 = 1,582.53/x
  3. Step 3: Cross multiply
    3,660.95x = 5,494.50 × 1,582.53
  4. Step 4: Simplify right side
    3,660.95x = 8,695,211.09
  5. Step 5: Solve for x
    x = 8,695,211.09/3,660.95
  6. Step 6: Final answer
    x = 2,375.13

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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.