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Finding the Fourth Proportional to 3,732.58, 5,594.77 and 1,540.12

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Solution

The fourth proportional to 3,732.58, 5,594.77 and 1,540.12 is: 2,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.58 : 5,594.77 = 1,540.12 : x
  2. Step 2: Convert to fraction form
    3,732.58/5,594.77 = 1,540.12/x
  3. Step 3: Cross multiply
    3,732.58x = 5,594.77 × 1,540.12
  4. Step 4: Simplify right side
    3,732.58x = 8,616,617.17
  5. Step 5: Solve for x
    x = 8,616,617.17/3,732.58
  6. Step 6: Final answer
    x = 2,308.49

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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.