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Finding the Fourth Proportional to 5,297.34, 7,947.45 and 1,834.86

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Solution

The fourth proportional to 5,297.34, 7,947.45 and 1,834.86 is: 2,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.34 : 7,947.45 = 1,834.86 : x
  2. Step 2: Convert to fraction form
    5,297.34/7,947.45 = 1,834.86/x
  3. Step 3: Cross multiply
    5,297.34x = 7,947.45 × 1,834.86
  4. Step 4: Simplify right side
    5,297.34x = 14,582,458.11
  5. Step 5: Solve for x
    x = 14,582,458.11/5,297.34
  6. Step 6: Final answer
    x = 2,752.79

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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.