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Finding the Fourth Proportional to 4,123.80, 5,690.84 and 2,235.42

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Solution

The fourth proportional to 4,123.80, 5,690.84 and 2,235.42 is: 3,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.80 : 5,690.84 = 2,235.42 : x
  2. Step 2: Convert to fraction form
    4,123.80/5,690.84 = 2,235.42/x
  3. Step 3: Cross multiply
    4,123.80x = 5,690.84 × 2,235.42
  4. Step 4: Simplify right side
    4,123.80x = 12,721,406.38
  5. Step 5: Solve for x
    x = 12,721,406.38/4,123.80
  6. Step 6: Final answer
    x = 3,084.87

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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.