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Finding the Fourth Proportional to 4,474.16, 6,713.28 and 2,281.76

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Solution

The fourth proportional to 4,474.16, 6,713.28 and 2,281.76 is: 3,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.16 : 6,713.28 = 2,281.76 : x
  2. Step 2: Convert to fraction form
    4,474.16/6,713.28 = 2,281.76/x
  3. Step 3: Cross multiply
    4,474.16x = 6,713.28 × 2,281.76
  4. Step 4: Simplify right side
    4,474.16x = 15,318,093.77
  5. Step 5: Solve for x
    x = 15,318,093.77/4,474.16
  6. Step 6: Final answer
    x = 3,423.68

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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.