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Finding the Fourth Proportional to 5,167.67, 7,746.32 and 2,045.97

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Solution

The fourth proportional to 5,167.67, 7,746.32 and 2,045.97 is: 3,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.67 : 7,746.32 = 2,045.97 : x
  2. Step 2: Convert to fraction form
    5,167.67/7,746.32 = 2,045.97/x
  3. Step 3: Cross multiply
    5,167.67x = 7,746.32 × 2,045.97
  4. Step 4: Simplify right side
    5,167.67x = 15,848,728.10
  5. Step 5: Solve for x
    x = 15,848,728.10/5,167.67
  6. Step 6: Final answer
    x = 3,066.90

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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.