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Finding the Fourth Proportional to 5,627.68, 8,441.12 and 2,465.44

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Solution

The fourth proportional to 5,627.68, 8,441.12 and 2,465.44 is: 3,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.68 : 8,441.12 = 2,465.44 : x
  2. Step 2: Convert to fraction form
    5,627.68/8,441.12 = 2,465.44/x
  3. Step 3: Cross multiply
    5,627.68x = 8,441.12 × 2,465.44
  4. Step 4: Simplify right side
    5,627.68x = 20,811,074.89
  5. Step 5: Solve for x
    x = 20,811,074.89/5,627.68
  6. Step 6: Final answer
    x = 3,697.98

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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.