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Finding the Fourth Proportional to 4,371, 6,548.26 and 3,385.52

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Solution

The fourth proportional to 4,371, 6,548.26 and 3,385.52 is: 5,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371 : 6,548.26 = 3,385.52 : x
  2. Step 2: Convert to fraction form
    4,371/6,548.26 = 3,385.52/x
  3. Step 3: Cross multiply
    4,371x = 6,548.26 × 3,385.52
  4. Step 4: Simplify right side
    4,371x = 22,169,265.20
  5. Step 5: Solve for x
    x = 22,169,265.20/4,371
  6. Step 6: Final answer
    x = 5,071.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.