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Finding the Fourth Proportional to 5,166.81, 7,130.22 and 2,808.96

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Solution

The fourth proportional to 5,166.81, 7,130.22 and 2,808.96 is: 3,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.81 : 7,130.22 = 2,808.96 : x
  2. Step 2: Convert to fraction form
    5,166.81/7,130.22 = 2,808.96/x
  3. Step 3: Cross multiply
    5,166.81x = 7,130.22 × 2,808.96
  4. Step 4: Simplify right side
    5,166.81x = 20,028,502.77
  5. Step 5: Solve for x
    x = 20,028,502.77/5,166.81
  6. Step 6: Final answer
    x = 3,876.38

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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.