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Finding the Fourth Proportional to 3,647.68, 5,471.85 and 1,050.55

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Solution

The fourth proportional to 3,647.68, 5,471.85 and 1,050.55 is: 1,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.68 : 5,471.85 = 1,050.55 : x
  2. Step 2: Convert to fraction form
    3,647.68/5,471.85 = 1,050.55/x
  3. Step 3: Cross multiply
    3,647.68x = 5,471.85 × 1,050.55
  4. Step 4: Simplify right side
    3,647.68x = 5,748,452.02
  5. Step 5: Solve for x
    x = 5,748,452.02/3,647.68
  6. Step 6: Final answer
    x = 1,575.92

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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.