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Finding the Fourth Proportional to 5,824.20, 8,724.65 and 4,256.45

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Solution

The fourth proportional to 5,824.20, 8,724.65 and 4,256.45 is: 6,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.20 : 8,724.65 = 4,256.45 : x
  2. Step 2: Convert to fraction form
    5,824.20/8,724.65 = 4,256.45/x
  3. Step 3: Cross multiply
    5,824.20x = 8,724.65 × 4,256.45
  4. Step 4: Simplify right side
    5,824.20x = 37,135,992.87
  5. Step 5: Solve for x
    x = 37,135,992.87/5,824.20
  6. Step 6: Final answer
    x = 6,376.15

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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.