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Finding the Fourth Proportional to 3,152.35, 4,348.82 and 2,142.82

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Solution

The fourth proportional to 3,152.35, 4,348.82 and 2,142.82 is: 2,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.35 : 4,348.82 = 2,142.82 : x
  2. Step 2: Convert to fraction form
    3,152.35/4,348.82 = 2,142.82/x
  3. Step 3: Cross multiply
    3,152.35x = 4,348.82 × 2,142.82
  4. Step 4: Simplify right side
    3,152.35x = 9,318,749.27
  5. Step 5: Solve for x
    x = 9,318,749.27/3,152.35
  6. Step 6: Final answer
    x = 2,956.13

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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.