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Finding the Fourth Proportional to 5,167.29, 7,748.10 and 1,608.45

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Solution

The fourth proportional to 5,167.29, 7,748.10 and 1,608.45 is: 2,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.29 : 7,748.10 = 1,608.45 : x
  2. Step 2: Convert to fraction form
    5,167.29/7,748.10 = 1,608.45/x
  3. Step 3: Cross multiply
    5,167.29x = 7,748.10 × 1,608.45
  4. Step 4: Simplify right side
    5,167.29x = 12,462,431.45
  5. Step 5: Solve for x
    x = 12,462,431.45/5,167.29
  6. Step 6: Final answer
    x = 2,411.79

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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.