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Finding the Fourth Proportional to 4,326, 6,493.32 and 3,159.60

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Solution

The fourth proportional to 4,326, 6,493.32 and 3,159.60 is: 4,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326 : 6,493.32 = 3,159.60 : x
  2. Step 2: Convert to fraction form
    4,326/6,493.32 = 3,159.60/x
  3. Step 3: Cross multiply
    4,326x = 6,493.32 × 3,159.60
  4. Step 4: Simplify right side
    4,326x = 20,516,293.87
  5. Step 5: Solve for x
    x = 20,516,293.87/4,326
  6. Step 6: Final answer
    x = 4,742.56

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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.