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Finding the Fourth Proportional to 5,449.68, 7,528.14 and 5,247.38

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Solution

The fourth proportional to 5,449.68, 7,528.14 and 5,247.38 is: 7,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.68 : 7,528.14 = 5,247.38 : x
  2. Step 2: Convert to fraction form
    5,449.68/7,528.14 = 5,247.38/x
  3. Step 3: Cross multiply
    5,449.68x = 7,528.14 × 5,247.38
  4. Step 4: Simplify right side
    5,449.68x = 39,503,030.09
  5. Step 5: Solve for x
    x = 39,503,030.09/5,449.68
  6. Step 6: Final answer
    x = 7,248.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.