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Finding the Fourth Proportional to 3,695.28, 5,542.88 and 1,503.50

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Solution

The fourth proportional to 3,695.28, 5,542.88 and 1,503.50 is: 2,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.28 : 5,542.88 = 1,503.50 : x
  2. Step 2: Convert to fraction form
    3,695.28/5,542.88 = 1,503.50/x
  3. Step 3: Cross multiply
    3,695.28x = 5,542.88 × 1,503.50
  4. Step 4: Simplify right side
    3,695.28x = 8,333,720.08
  5. Step 5: Solve for x
    x = 8,333,720.08/3,695.28
  6. Step 6: Final answer
    x = 2,255.23

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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.