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Finding the Fourth Proportional to 3,534, 5,299.52 and 1,587.52

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Solution

The fourth proportional to 3,534, 5,299.52 and 1,587.52 is: 2,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,299.52 = 1,587.52 : x
  2. Step 2: Convert to fraction form
    3,534/5,299.52 = 1,587.52/x
  3. Step 3: Cross multiply
    3,534x = 5,299.52 × 1,587.52
  4. Step 4: Simplify right side
    3,534x = 8,413,093.99
  5. Step 5: Solve for x
    x = 8,413,093.99/3,534
  6. Step 6: Final answer
    x = 2,380.62

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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.