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Finding the Fourth Proportional to 3,207.92, 4,810.91 and 1,359

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Solution

The fourth proportional to 3,207.92, 4,810.91 and 1,359 is: 2,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.92 : 4,810.91 = 1,359 : x
  2. Step 2: Convert to fraction form
    3,207.92/4,810.91 = 1,359/x
  3. Step 3: Cross multiply
    3,207.92x = 4,810.91 × 1,359
  4. Step 4: Simplify right side
    3,207.92x = 6,538,019.90
  5. Step 5: Solve for x
    x = 6,538,019.90/3,207.92
  6. Step 6: Final answer
    x = 2,038.09

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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.