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Finding the Fourth Proportional to 5,166.11, 7,129.81 and 4,849.40

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Solution

The fourth proportional to 5,166.11, 7,129.81 and 4,849.40 is: 6,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.11 : 7,129.81 = 4,849.40 : x
  2. Step 2: Convert to fraction form
    5,166.11/7,129.81 = 4,849.40/x
  3. Step 3: Cross multiply
    5,166.11x = 7,129.81 × 4,849.40
  4. Step 4: Simplify right side
    5,166.11x = 34,575,300.61
  5. Step 5: Solve for x
    x = 34,575,300.61/5,166.11
  6. Step 6: Final answer
    x = 6,692.71

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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.