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Finding the Fourth Proportional to 6,438.28, 8,886.10 and 4,078.76

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Solution

The fourth proportional to 6,438.28, 8,886.10 and 4,078.76 is: 5,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.28 : 8,886.10 = 4,078.76 : x
  2. Step 2: Convert to fraction form
    6,438.28/8,886.10 = 4,078.76/x
  3. Step 3: Cross multiply
    6,438.28x = 8,886.10 × 4,078.76
  4. Step 4: Simplify right side
    6,438.28x = 36,244,269.24
  5. Step 5: Solve for x
    x = 36,244,269.24/6,438.28
  6. Step 6: Final answer
    x = 5,629.50

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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.