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Finding the Fourth Proportional to 5,585.87, 8,378.79 and 1,425.87

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Solution

The fourth proportional to 5,585.87, 8,378.79 and 1,425.87 is: 2,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.87 : 8,378.79 = 1,425.87 : x
  2. Step 2: Convert to fraction form
    5,585.87/8,378.79 = 1,425.87/x
  3. Step 3: Cross multiply
    5,585.87x = 8,378.79 × 1,425.87
  4. Step 4: Simplify right side
    5,585.87x = 11,947,102.06
  5. Step 5: Solve for x
    x = 11,947,102.06/5,585.87
  6. Step 6: Final answer
    x = 2,138.81

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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.