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Finding the Fourth Proportional to 4,377.87, 6,605.82 and 4,207.05

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Solution

The fourth proportional to 4,377.87, 6,605.82 and 4,207.05 is: 6,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.87 : 6,605.82 = 4,207.05 : x
  2. Step 2: Convert to fraction form
    4,377.87/6,605.82 = 4,207.05/x
  3. Step 3: Cross multiply
    4,377.87x = 6,605.82 × 4,207.05
  4. Step 4: Simplify right side
    4,377.87x = 27,791,015.03
  5. Step 5: Solve for x
    x = 27,791,015.03/4,377.87
  6. Step 6: Final answer
    x = 6,348.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.