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Finding the Fourth Proportional to 5,248.53, 7,873.26 and 1,352.94

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Solution

The fourth proportional to 5,248.53, 7,873.26 and 1,352.94 is: 2,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.53 : 7,873.26 = 1,352.94 : x
  2. Step 2: Convert to fraction form
    5,248.53/7,873.26 = 1,352.94/x
  3. Step 3: Cross multiply
    5,248.53x = 7,873.26 × 1,352.94
  4. Step 4: Simplify right side
    5,248.53x = 10,652,041.62
  5. Step 5: Solve for x
    x = 10,652,041.62/5,248.53
  6. Step 6: Final answer
    x = 2,029.53

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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.