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Finding the Fourth Proportional to 6,113.92, 8,437.20 and 3,319.40

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Solution

The fourth proportional to 6,113.92, 8,437.20 and 3,319.40 is: 4,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.92 : 8,437.20 = 3,319.40 : x
  2. Step 2: Convert to fraction form
    6,113.92/8,437.20 = 3,319.40/x
  3. Step 3: Cross multiply
    6,113.92x = 8,437.20 × 3,319.40
  4. Step 4: Simplify right side
    6,113.92x = 28,006,441.68
  5. Step 5: Solve for x
    x = 28,006,441.68/6,113.92
  6. Step 6: Final answer
    x = 4,580.77

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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.