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Finding the Fourth Proportional to 3,854.35, 5,319.03 and 2,175.63

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Solution

The fourth proportional to 3,854.35, 5,319.03 and 2,175.63 is: 3,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.35 : 5,319.03 = 2,175.63 : x
  2. Step 2: Convert to fraction form
    3,854.35/5,319.03 = 2,175.63/x
  3. Step 3: Cross multiply
    3,854.35x = 5,319.03 × 2,175.63
  4. Step 4: Simplify right side
    3,854.35x = 11,572,241.24
  5. Step 5: Solve for x
    x = 11,572,241.24/3,854.35
  6. Step 6: Final answer
    x = 3,002.38

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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.