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Finding the Fourth Proportional to 5,295, 7,943.04 and 1,832.24

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Solution

The fourth proportional to 5,295, 7,943.04 and 1,832.24 is: 2,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295 : 7,943.04 = 1,832.24 : x
  2. Step 2: Convert to fraction form
    5,295/7,943.04 = 1,832.24/x
  3. Step 3: Cross multiply
    5,295x = 7,943.04 × 1,832.24
  4. Step 4: Simplify right side
    5,295x = 14,553,555.61
  5. Step 5: Solve for x
    x = 14,553,555.61/5,295
  6. Step 6: Final answer
    x = 2,748.55

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