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Finding the Fourth Proportional to 3,652.55, 5,474.87 and 1,458.87

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Solution

The fourth proportional to 3,652.55, 5,474.87 and 1,458.87 is: 2,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.55 : 5,474.87 = 1,458.87 : x
  2. Step 2: Convert to fraction form
    3,652.55/5,474.87 = 1,458.87/x
  3. Step 3: Cross multiply
    3,652.55x = 5,474.87 × 1,458.87
  4. Step 4: Simplify right side
    3,652.55x = 7,987,123.60
  5. Step 5: Solve for x
    x = 7,987,123.60/3,652.55
  6. Step 6: Final answer
    x = 2,186.73

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Why These Related Problems?

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