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Finding the Fourth Proportional to 5,294.89, 7,943.52 and 1,785.04

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Solution

The fourth proportional to 5,294.89, 7,943.52 and 1,785.04 is: 2,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.89 : 7,943.52 = 1,785.04 : x
  2. Step 2: Convert to fraction form
    5,294.89/7,943.52 = 1,785.04/x
  3. Step 3: Cross multiply
    5,294.89x = 7,943.52 × 1,785.04
  4. Step 4: Simplify right side
    5,294.89x = 14,179,500.94
  5. Step 5: Solve for x
    x = 14,179,500.94/5,294.89
  6. Step 6: Final answer
    x = 2,677.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.