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Finding the Fourth Proportional to 5,759.65, 7,948.72 and 3,207.75

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Solution

The fourth proportional to 5,759.65, 7,948.72 and 3,207.75 is: 4,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.65 : 7,948.72 = 3,207.75 : x
  2. Step 2: Convert to fraction form
    5,759.65/7,948.72 = 3,207.75/x
  3. Step 3: Cross multiply
    5,759.65x = 7,948.72 × 3,207.75
  4. Step 4: Simplify right side
    5,759.65x = 25,497,466.84
  5. Step 5: Solve for x
    x = 25,497,466.84/5,759.65
  6. Step 6: Final answer
    x = 4,426.91

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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.