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Finding the Fourth Proportional to 4,094.72, 5,649.72 and 2,326

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Solution

The fourth proportional to 4,094.72, 5,649.72 and 2,326 is: 3,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.72 : 5,649.72 = 2,326 : x
  2. Step 2: Convert to fraction form
    4,094.72/5,649.72 = 2,326/x
  3. Step 3: Cross multiply
    4,094.72x = 5,649.72 × 2,326
  4. Step 4: Simplify right side
    4,094.72x = 13,141,248.72
  5. Step 5: Solve for x
    x = 13,141,248.72/4,094.72
  6. Step 6: Final answer
    x = 3,209.32

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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.