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Finding the Fourth Proportional to 5,759.25, 7,948.31 and 3,275.25

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Solution

The fourth proportional to 5,759.25, 7,948.31 and 3,275.25 is: 4,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.25 : 7,948.31 = 3,275.25 : x
  2. Step 2: Convert to fraction form
    5,759.25/7,948.31 = 3,275.25/x
  3. Step 3: Cross multiply
    5,759.25x = 7,948.31 × 3,275.25
  4. Step 4: Simplify right side
    5,759.25x = 26,032,685.95
  5. Step 5: Solve for x
    x = 26,032,685.95/5,759.25
  6. Step 6: Final answer
    x = 4,520.15

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1.5x scale

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.