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Finding the Fourth Proportional to 5,291.72, 7,302.02 and 3,166.82

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Solution

The fourth proportional to 5,291.72, 7,302.02 and 3,166.82 is: 4,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.72 : 7,302.02 = 3,166.82 : x
  2. Step 2: Convert to fraction form
    5,291.72/7,302.02 = 3,166.82/x
  3. Step 3: Cross multiply
    5,291.72x = 7,302.02 × 3,166.82
  4. Step 4: Simplify right side
    5,291.72x = 23,124,154.38
  5. Step 5: Solve for x
    x = 23,124,154.38/5,291.72
  6. Step 6: Final answer
    x = 4,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.