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Finding the Fourth Proportional to 3,250.26, 4,875.71 and 910.28

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Solution

The fourth proportional to 3,250.26, 4,875.71 and 910.28 is: 1,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.26 : 4,875.71 = 910.28 : x
  2. Step 2: Convert to fraction form
    3,250.26/4,875.71 = 910.28/x
  3. Step 3: Cross multiply
    3,250.26x = 4,875.71 × 910.28
  4. Step 4: Simplify right side
    3,250.26x = 4,438,261.30
  5. Step 5: Solve for x
    x = 4,438,261.30/3,250.26
  6. Step 6: Final answer
    x = 1,365.51

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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.