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Finding the Fourth Proportional to 6,438.60, 8,884.08 and 5,441.76

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Solution

The fourth proportional to 6,438.60, 8,884.08 and 5,441.76 is: 7,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.60 : 8,884.08 = 5,441.76 : x
  2. Step 2: Convert to fraction form
    6,438.60/8,884.08 = 5,441.76/x
  3. Step 3: Cross multiply
    6,438.60x = 8,884.08 × 5,441.76
  4. Step 4: Simplify right side
    6,438.60x = 48,345,031.18
  5. Step 5: Solve for x
    x = 48,345,031.18/6,438.60
  6. Step 6: Final answer
    x = 7,508.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.