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Finding the Fourth Proportional to 3,686.34, 5,529.48 and 1,494.55

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Solution

The fourth proportional to 3,686.34, 5,529.48 and 1,494.55 is: 2,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.34 : 5,529.48 = 1,494.55 : x
  2. Step 2: Convert to fraction form
    3,686.34/5,529.48 = 1,494.55/x
  3. Step 3: Cross multiply
    3,686.34x = 5,529.48 × 1,494.55
  4. Step 4: Simplify right side
    3,686.34x = 8,264,076.86
  5. Step 5: Solve for x
    x = 8,264,076.86/3,686.34
  6. Step 6: Final answer
    x = 2,241.81

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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.