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Finding the Fourth Proportional to 5,253.65, 7,873.05 and 2,914.69

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Solution

The fourth proportional to 5,253.65, 7,873.05 and 2,914.69 is: 4,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.65 : 7,873.05 = 2,914.69 : x
  2. Step 2: Convert to fraction form
    5,253.65/7,873.05 = 2,914.69/x
  3. Step 3: Cross multiply
    5,253.65x = 7,873.05 × 2,914.69
  4. Step 4: Simplify right side
    5,253.65x = 22,947,500.10
  5. Step 5: Solve for x
    x = 22,947,500.10/5,253.65
  6. Step 6: Final answer
    x = 4,367.92

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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.