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Finding the Fourth Proportional to 4,448.04, 6,138.36 and 2,585.04

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Solution

The fourth proportional to 4,448.04, 6,138.36 and 2,585.04 is: 3,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.04 : 6,138.36 = 2,585.04 : x
  2. Step 2: Convert to fraction form
    4,448.04/6,138.36 = 2,585.04/x
  3. Step 3: Cross multiply
    4,448.04x = 6,138.36 × 2,585.04
  4. Step 4: Simplify right side
    4,448.04x = 15,867,906.13
  5. Step 5: Solve for x
    x = 15,867,906.13/4,448.04
  6. Step 6: Final answer
    x = 3,567.39

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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.