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Finding the Fourth Proportional to 5,687.57, 7,848.27 and 3,169.58

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Solution

The fourth proportional to 5,687.57, 7,848.27 and 3,169.58 is: 4,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.57 : 7,848.27 = 3,169.58 : x
  2. Step 2: Convert to fraction form
    5,687.57/7,848.27 = 3,169.58/x
  3. Step 3: Cross multiply
    5,687.57x = 7,848.27 × 3,169.58
  4. Step 4: Simplify right side
    5,687.57x = 24,875,680.39
  5. Step 5: Solve for x
    x = 24,875,680.39/5,687.57
  6. Step 6: Final answer
    x = 4,373.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.