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Finding the Fourth Proportional to 4,478.57, 6,687.44 and 3,543.62

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Solution

The fourth proportional to 4,478.57, 6,687.44 and 3,543.62 is: 5,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.57 : 6,687.44 = 3,543.62 : x
  2. Step 2: Convert to fraction form
    4,478.57/6,687.44 = 3,543.62/x
  3. Step 3: Cross multiply
    4,478.57x = 6,687.44 × 3,543.62
  4. Step 4: Simplify right side
    4,478.57x = 23,697,754.72
  5. Step 5: Solve for x
    x = 23,697,754.72/4,478.57
  6. Step 6: Final answer
    x = 5,291.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.