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Finding the Fourth Proportional to 4,473.92, 6,707.82 and 2,278.40

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Solution

The fourth proportional to 4,473.92, 6,707.82 and 2,278.40 is: 3,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.92 : 6,707.82 = 2,278.40 : x
  2. Step 2: Convert to fraction form
    4,473.92/6,707.82 = 2,278.40/x
  3. Step 3: Cross multiply
    4,473.92x = 6,707.82 × 2,278.40
  4. Step 4: Simplify right side
    4,473.92x = 15,283,097.09
  5. Step 5: Solve for x
    x = 15,283,097.09/4,473.92
  6. Step 6: Final answer
    x = 3,416.04

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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.