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Finding the Fourth Proportional to 3,207.83, 4,427.00 and 1,791.51

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Solution

The fourth proportional to 3,207.83, 4,427.00 and 1,791.51 is: 2,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.83 : 4,427.00 = 1,791.51 : x
  2. Step 2: Convert to fraction form
    3,207.83/4,427.00 = 1,791.51/x
  3. Step 3: Cross multiply
    3,207.83x = 4,427.00 × 1,791.51
  4. Step 4: Simplify right side
    3,207.83x = 7,931,005.81
  5. Step 5: Solve for x
    x = 7,931,005.81/3,207.83
  6. Step 6: Final answer
    x = 2,472.39

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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.