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Finding the Fourth Proportional to 5,274.70, 7,874.63 and 4,691.50

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Solution

The fourth proportional to 5,274.70, 7,874.63 and 4,691.50 is: 7,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.70 : 7,874.63 = 4,691.50 : x
  2. Step 2: Convert to fraction form
    5,274.70/7,874.63 = 4,691.50/x
  3. Step 3: Cross multiply
    5,274.70x = 7,874.63 × 4,691.50
  4. Step 4: Simplify right side
    5,274.70x = 36,943,826.65
  5. Step 5: Solve for x
    x = 36,943,826.65/5,274.70
  6. Step 6: Final answer
    x = 7,003.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.