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Finding the Fourth Proportional to 4,480.96, 6,716.46 and 3,381.76

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Solution

The fourth proportional to 4,480.96, 6,716.46 and 3,381.76 is: 5,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.96 : 6,716.46 = 3,381.76 : x
  2. Step 2: Convert to fraction form
    4,480.96/6,716.46 = 3,381.76/x
  3. Step 3: Cross multiply
    4,480.96x = 6,716.46 × 3,381.76
  4. Step 4: Simplify right side
    4,480.96x = 22,713,455.77
  5. Step 5: Solve for x
    x = 22,713,455.77/4,480.96
  6. Step 6: Final answer
    x = 5,068.88

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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.