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Finding the Fourth Proportional to 3,695.26, 5,538.10 and 1,501.44

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Solution

The fourth proportional to 3,695.26, 5,538.10 and 1,501.44 is: 2,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.26 : 5,538.10 = 1,501.44 : x
  2. Step 2: Convert to fraction form
    3,695.26/5,538.10 = 1,501.44/x
  3. Step 3: Cross multiply
    3,695.26x = 5,538.10 × 1,501.44
  4. Step 4: Simplify right side
    3,695.26x = 8,315,124.86
  5. Step 5: Solve for x
    x = 8,315,124.86/3,695.26
  6. Step 6: Final answer
    x = 2,250.21

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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.