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Finding the Fourth Proportional to 4,312.54, 6,463.19 and 3,754.86

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Solution

The fourth proportional to 4,312.54, 6,463.19 and 3,754.86 is: 5,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.54 : 6,463.19 = 3,754.86 : x
  2. Step 2: Convert to fraction form
    4,312.54/6,463.19 = 3,754.86/x
  3. Step 3: Cross multiply
    4,312.54x = 6,463.19 × 3,754.86
  4. Step 4: Simplify right side
    4,312.54x = 24,268,358.75
  5. Step 5: Solve for x
    x = 24,268,358.75/4,312.54
  6. Step 6: Final answer
    x = 5,627.39

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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.