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Finding the Fourth Proportional to 5,687, 7,848.30 and 3,169.12

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Solution

The fourth proportional to 5,687, 7,848.30 and 3,169.12 is: 4,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687 : 7,848.30 = 3,169.12 : x
  2. Step 2: Convert to fraction form
    5,687/7,848.30 = 3,169.12/x
  3. Step 3: Cross multiply
    5,687x = 7,848.30 × 3,169.12
  4. Step 4: Simplify right side
    5,687x = 24,872,204.50
  5. Step 5: Solve for x
    x = 24,872,204.50/5,687
  6. Step 6: Final answer
    x = 4,373.52

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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.