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Finding the Fourth Proportional to 5,687.68, 7,849.01 and 3,701.62

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Solution

The fourth proportional to 5,687.68, 7,849.01 and 3,701.62 is: 5,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.68 : 7,849.01 = 3,701.62 : x
  2. Step 2: Convert to fraction form
    5,687.68/7,849.01 = 3,701.62/x
  3. Step 3: Cross multiply
    5,687.68x = 7,849.01 × 3,701.62
  4. Step 4: Simplify right side
    5,687.68x = 29,054,052.40
  5. Step 5: Solve for x
    x = 29,054,052.40/5,687.68
  6. Step 6: Final answer
    x = 5,108.24

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1.5x scale

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.