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Finding the Fourth Proportional to 4,821.72, 7,231.14 and 1,743

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Solution

The fourth proportional to 4,821.72, 7,231.14 and 1,743 is: 2,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.72 : 7,231.14 = 1,743 : x
  2. Step 2: Convert to fraction form
    4,821.72/7,231.14 = 1,743/x
  3. Step 3: Cross multiply
    4,821.72x = 7,231.14 × 1,743
  4. Step 4: Simplify right side
    4,821.72x = 12,603,877.02
  5. Step 5: Solve for x
    x = 12,603,877.02/4,821.72
  6. Step 6: Final answer
    x = 2,613.98

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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.