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Finding the Fourth Proportional to 3,590.34, 4,942.22 and 3,123.78

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Solution

The fourth proportional to 3,590.34, 4,942.22 and 3,123.78 is: 4,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.34 : 4,942.22 = 3,123.78 : x
  2. Step 2: Convert to fraction form
    3,590.34/4,942.22 = 3,123.78/x
  3. Step 3: Cross multiply
    3,590.34x = 4,942.22 × 3,123.78
  4. Step 4: Simplify right side
    3,590.34x = 15,438,407.99
  5. Step 5: Solve for x
    x = 15,438,407.99/3,590.34
  6. Step 6: Final answer
    x = 4,299.98

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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.