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Finding the Fourth Proportional to 5,162.87, 7,743.80 and 3,507.64

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Solution

The fourth proportional to 5,162.87, 7,743.80 and 3,507.64 is: 5,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.87 : 7,743.80 = 3,507.64 : x
  2. Step 2: Convert to fraction form
    5,162.87/7,743.80 = 3,507.64/x
  3. Step 3: Cross multiply
    5,162.87x = 7,743.80 × 3,507.64
  4. Step 4: Simplify right side
    5,162.87x = 27,162,452.04
  5. Step 5: Solve for x
    x = 27,162,452.04/5,162.87
  6. Step 6: Final answer
    x = 5,261.11

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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.