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Finding the Fourth Proportional to 3,699.46, 5,540.28 and 2,393.74

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Solution

The fourth proportional to 3,699.46, 5,540.28 and 2,393.74 is: 3,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.46 : 5,540.28 = 2,393.74 : x
  2. Step 2: Convert to fraction form
    3,699.46/5,540.28 = 2,393.74/x
  3. Step 3: Cross multiply
    3,699.46x = 5,540.28 × 2,393.74
  4. Step 4: Simplify right side
    3,699.46x = 13,261,989.85
  5. Step 5: Solve for x
    x = 13,261,989.85/3,699.46
  6. Step 6: Final answer
    x = 3,584.84

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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.