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Finding the Fourth Proportional to 3,862.50, 5,330.97 and 2,206.50

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Solution

The fourth proportional to 3,862.50, 5,330.97 and 2,206.50 is: 3,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.50 : 5,330.97 = 2,206.50 : x
  2. Step 2: Convert to fraction form
    3,862.50/5,330.97 = 2,206.50/x
  3. Step 3: Cross multiply
    3,862.50x = 5,330.97 × 2,206.50
  4. Step 4: Simplify right side
    3,862.50x = 11,762,785.31
  5. Step 5: Solve for x
    x = 11,762,785.31/3,862.50
  6. Step 6: Final answer
    x = 3,045.38

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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.