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Finding the Fourth Proportional to 4,448, 6,138.24 and 2,585

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Solution

The fourth proportional to 4,448, 6,138.24 and 2,585 is: 3,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448 : 6,138.24 = 2,585 : x
  2. Step 2: Convert to fraction form
    4,448/6,138.24 = 2,585/x
  3. Step 3: Cross multiply
    4,448x = 6,138.24 × 2,585
  4. Step 4: Simplify right side
    4,448x = 15,867,350.40
  5. Step 5: Solve for x
    x = 15,867,350.40/4,448
  6. Step 6: Final answer
    x = 3,567.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.