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Finding the Fourth Proportional to 4,394, 6,063.96 and 2,531.60

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Solution

The fourth proportional to 4,394, 6,063.96 and 2,531.60 is: 3,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394 : 6,063.96 = 2,531.60 : x
  2. Step 2: Convert to fraction form
    4,394/6,063.96 = 2,531.60/x
  3. Step 3: Cross multiply
    4,394x = 6,063.96 × 2,531.60
  4. Step 4: Simplify right side
    4,394x = 15,351,521.14
  5. Step 5: Solve for x
    x = 15,351,521.14/4,394
  6. Step 6: Final answer
    x = 3,493.75

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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.