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Finding the Fourth Proportional to 5,029.11, 7,543.76 and 1,742.31

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Solution

The fourth proportional to 5,029.11, 7,543.76 and 1,742.31 is: 2,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.11 : 7,543.76 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    5,029.11/7,543.76 = 1,742.31/x
  3. Step 3: Cross multiply
    5,029.11x = 7,543.76 × 1,742.31
  4. Step 4: Simplify right side
    5,029.11x = 13,143,568.49
  5. Step 5: Solve for x
    x = 13,143,568.49/5,029.11
  6. Step 6: Final answer
    x = 2,613.50

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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.