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Finding the Fourth Proportional to 5,162.67, 7,743.53 and 1,699.92

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Solution

The fourth proportional to 5,162.67, 7,743.53 and 1,699.92 is: 2,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.67 : 7,743.53 = 1,699.92 : x
  2. Step 2: Convert to fraction form
    5,162.67/7,743.53 = 1,699.92/x
  3. Step 3: Cross multiply
    5,162.67x = 7,743.53 × 1,699.92
  4. Step 4: Simplify right side
    5,162.67x = 13,163,385.77
  5. Step 5: Solve for x
    x = 13,163,385.77/5,162.67
  6. Step 6: Final answer
    x = 2,549.72

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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.