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Finding the Fourth Proportional to 5,687.52, 8,532.58 and 1,739.14

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Solution

The fourth proportional to 5,687.52, 8,532.58 and 1,739.14 is: 2,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.52 : 8,532.58 = 1,739.14 : x
  2. Step 2: Convert to fraction form
    5,687.52/8,532.58 = 1,739.14/x
  3. Step 3: Cross multiply
    5,687.52x = 8,532.58 × 1,739.14
  4. Step 4: Simplify right side
    5,687.52x = 14,839,351.18
  5. Step 5: Solve for x
    x = 14,839,351.18/5,687.52
  6. Step 6: Final answer
    x = 2,609.11

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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.