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Finding the Fourth Proportional to 5,111.57, 7,055.31 and 3,123.80

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Solution

The fourth proportional to 5,111.57, 7,055.31 and 3,123.80 is: 4,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.57 : 7,055.31 = 3,123.80 : x
  2. Step 2: Convert to fraction form
    5,111.57/7,055.31 = 3,123.80/x
  3. Step 3: Cross multiply
    5,111.57x = 7,055.31 × 3,123.80
  4. Step 4: Simplify right side
    5,111.57x = 22,039,377.38
  5. Step 5: Solve for x
    x = 22,039,377.38/5,111.57
  6. Step 6: Final answer
    x = 4,311.66

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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.