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Finding the Fourth Proportional to 3,986.19, 5,502.42 and 3,424.39

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Solution

The fourth proportional to 3,986.19, 5,502.42 and 3,424.39 is: 4,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.19 : 5,502.42 = 3,424.39 : x
  2. Step 2: Convert to fraction form
    3,986.19/5,502.42 = 3,424.39/x
  3. Step 3: Cross multiply
    3,986.19x = 5,502.42 × 3,424.39
  4. Step 4: Simplify right side
    3,986.19x = 18,842,432.02
  5. Step 5: Solve for x
    x = 18,842,432.02/3,986.19
  6. Step 6: Final answer
    x = 4,726.93

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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.