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Finding the Fourth Proportional to 5,466, 8,236.25 and 4,869.26

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Solution

The fourth proportional to 5,466, 8,236.25 and 4,869.26 is: 7,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466 : 8,236.25 = 4,869.26 : x
  2. Step 2: Convert to fraction form
    5,466/8,236.25 = 4,869.26/x
  3. Step 3: Cross multiply
    5,466x = 8,236.25 × 4,869.26
  4. Step 4: Simplify right side
    5,466x = 40,104,377.15
  5. Step 5: Solve for x
    x = 40,104,377.15/5,466
  6. Step 6: Final answer
    x = 7,337.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.