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Finding the Fourth Proportional to 3,891.69, 5,370.49 and 2,123.19

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Solution

The fourth proportional to 3,891.69, 5,370.49 and 2,123.19 is: 2,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.69 : 5,370.49 = 2,123.19 : x
  2. Step 2: Convert to fraction form
    3,891.69/5,370.49 = 2,123.19/x
  3. Step 3: Cross multiply
    3,891.69x = 5,370.49 × 2,123.19
  4. Step 4: Simplify right side
    3,891.69x = 11,402,570.66
  5. Step 5: Solve for x
    x = 11,402,570.66/3,891.69
  6. Step 6: Final answer
    x = 2,929.98

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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.