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Finding the Fourth Proportional to 3,725.91, 5,589.50 and 1,534.05

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Solution

The fourth proportional to 3,725.91, 5,589.50 and 1,534.05 is: 2,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.91 : 5,589.50 = 1,534.05 : x
  2. Step 2: Convert to fraction form
    3,725.91/5,589.50 = 1,534.05/x
  3. Step 3: Cross multiply
    3,725.91x = 5,589.50 × 1,534.05
  4. Step 4: Simplify right side
    3,725.91x = 8,574,564.80
  5. Step 5: Solve for x
    x = 8,574,564.80/3,725.91
  6. Step 6: Final answer
    x = 2,301.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.