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Finding the Fourth Proportional to 3,854.39, 5,317.75 and 2,509.38

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Solution

The fourth proportional to 3,854.39, 5,317.75 and 2,509.38 is: 3,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.39 : 5,317.75 = 2,509.38 : x
  2. Step 2: Convert to fraction form
    3,854.39/5,317.75 = 2,509.38/x
  3. Step 3: Cross multiply
    3,854.39x = 5,317.75 × 2,509.38
  4. Step 4: Simplify right side
    3,854.39x = 13,344,278.57
  5. Step 5: Solve for x
    x = 13,344,278.57/3,854.39
  6. Step 6: Final answer
    x = 3,462.10

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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.