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Finding the Fourth Proportional to 5,123.75, 7,068.69 and 3,782.57

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Solution

The fourth proportional to 5,123.75, 7,068.69 and 3,782.57 is: 5,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.75 : 7,068.69 = 3,782.57 : x
  2. Step 2: Convert to fraction form
    5,123.75/7,068.69 = 3,782.57/x
  3. Step 3: Cross multiply
    5,123.75x = 7,068.69 × 3,782.57
  4. Step 4: Simplify right side
    5,123.75x = 26,737,814.73
  5. Step 5: Solve for x
    x = 26,737,814.73/5,123.75
  6. Step 6: Final answer
    x = 5,218.41

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