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Finding the Fourth Proportional to 3,869.12, 5,330.40 and 3,166.40

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Solution

The fourth proportional to 3,869.12, 5,330.40 and 3,166.40 is: 4,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.12 : 5,330.40 = 3,166.40 : x
  2. Step 2: Convert to fraction form
    3,869.12/5,330.40 = 3,166.40/x
  3. Step 3: Cross multiply
    3,869.12x = 5,330.40 × 3,166.40
  4. Step 4: Simplify right side
    3,869.12x = 16,878,178.56
  5. Step 5: Solve for x
    x = 16,878,178.56/3,869.12
  6. Step 6: Final answer
    x = 4,362.28

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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.