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Finding the Fourth Proportional to 3,725.93, 5,589.68 and 1,534.82

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Solution

The fourth proportional to 3,725.93, 5,589.68 and 1,534.82 is: 2,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.93 : 5,589.68 = 1,534.82 : x
  2. Step 2: Convert to fraction form
    3,725.93/5,589.68 = 1,534.82/x
  3. Step 3: Cross multiply
    3,725.93x = 5,589.68 × 1,534.82
  4. Step 4: Simplify right side
    3,725.93x = 8,579,117.04
  5. Step 5: Solve for x
    x = 8,579,117.04/3,725.93
  6. Step 6: Final answer
    x = 2,302.54

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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.