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Finding the Fourth Proportional to 3,871.54, 5,331.93 and 3,160.09

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Solution

The fourth proportional to 3,871.54, 5,331.93 and 3,160.09 is: 4,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.54 : 5,331.93 = 3,160.09 : x
  2. Step 2: Convert to fraction form
    3,871.54/5,331.93 = 3,160.09/x
  3. Step 3: Cross multiply
    3,871.54x = 5,331.93 × 3,160.09
  4. Step 4: Simplify right side
    3,871.54x = 16,849,378.67
  5. Step 5: Solve for x
    x = 16,849,378.67/3,871.54
  6. Step 6: Final answer
    x = 4,352.11

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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.