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Finding the Fourth Proportional to 5,363.20, 8,039.20 and 2,585.68

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Solution

The fourth proportional to 5,363.20, 8,039.20 and 2,585.68 is: 3,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.20 : 8,039.20 = 2,585.68 : x
  2. Step 2: Convert to fraction form
    5,363.20/8,039.20 = 2,585.68/x
  3. Step 3: Cross multiply
    5,363.20x = 8,039.20 × 2,585.68
  4. Step 4: Simplify right side
    5,363.20x = 20,786,798.66
  5. Step 5: Solve for x
    x = 20,786,798.66/5,363.20
  6. Step 6: Final answer
    x = 3,875.82

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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.