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Finding the Fourth Proportional to 3,502.79, 4,834.91 and 2,178.44

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Solution

The fourth proportional to 3,502.79, 4,834.91 and 2,178.44 is: 3,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.79 : 4,834.91 = 2,178.44 : x
  2. Step 2: Convert to fraction form
    3,502.79/4,834.91 = 2,178.44/x
  3. Step 3: Cross multiply
    3,502.79x = 4,834.91 × 2,178.44
  4. Step 4: Simplify right side
    3,502.79x = 10,532,542.61
  5. Step 5: Solve for x
    x = 10,532,542.61/3,502.79
  6. Step 6: Final answer
    x = 3,006.91

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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.