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Finding the Fourth Proportional to 5,687.70, 7,848.95 and 3,169.91

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Solution

The fourth proportional to 5,687.70, 7,848.95 and 3,169.91 is: 4,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.70 : 7,848.95 = 3,169.91 : x
  2. Step 2: Convert to fraction form
    5,687.70/7,848.95 = 3,169.91/x
  3. Step 3: Cross multiply
    5,687.70x = 7,848.95 × 3,169.91
  4. Step 4: Simplify right side
    5,687.70x = 24,880,410.00
  5. Step 5: Solve for x
    x = 24,880,410.00/5,687.70
  6. Step 6: Final answer
    x = 4,374.42

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Why These Related Problems?

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