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Finding the Fourth Proportional to 4,482.96, 6,719.46 and 3,383.76

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Solution

The fourth proportional to 4,482.96, 6,719.46 and 3,383.76 is: 5,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.96 : 6,719.46 = 3,383.76 : x
  2. Step 2: Convert to fraction form
    4,482.96/6,719.46 = 3,383.76/x
  3. Step 3: Cross multiply
    4,482.96x = 6,719.46 × 3,383.76
  4. Step 4: Simplify right side
    4,482.96x = 22,737,039.97
  5. Step 5: Solve for x
    x = 22,737,039.97/4,482.96
  6. Step 6: Final answer
    x = 5,071.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.