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Finding the Fourth Proportional to 3,502.72, 4,834.31 and 2,159.12

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Solution

The fourth proportional to 3,502.72, 4,834.31 and 2,159.12 is: 2,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.72 : 4,834.31 = 2,159.12 : x
  2. Step 2: Convert to fraction form
    3,502.72/4,834.31 = 2,159.12/x
  3. Step 3: Cross multiply
    3,502.72x = 4,834.31 × 2,159.12
  4. Step 4: Simplify right side
    3,502.72x = 10,437,820.44
  5. Step 5: Solve for x
    x = 10,437,820.44/3,502.72
  6. Step 6: Final answer
    x = 2,979.92

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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.