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Finding the Fourth Proportional to 5,273.70, 7,873.14 and 4,690.50

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Solution

The fourth proportional to 5,273.70, 7,873.14 and 4,690.50 is: 7,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.70 : 7,873.14 = 4,690.50 : x
  2. Step 2: Convert to fraction form
    5,273.70/7,873.14 = 4,690.50/x
  3. Step 3: Cross multiply
    5,273.70x = 7,873.14 × 4,690.50
  4. Step 4: Simplify right side
    5,273.70x = 36,928,963.17
  5. Step 5: Solve for x
    x = 36,928,963.17/5,273.70
  6. Step 6: Final answer
    x = 7,002.48

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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.