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Finding the Fourth Proportional to 5,759.53, 7,947.85 and 3,401.22

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Solution

The fourth proportional to 5,759.53, 7,947.85 and 3,401.22 is: 4,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.53 : 7,947.85 = 3,401.22 : x
  2. Step 2: Convert to fraction form
    5,759.53/7,947.85 = 3,401.22/x
  3. Step 3: Cross multiply
    5,759.53x = 7,947.85 × 3,401.22
  4. Step 4: Simplify right side
    5,759.53x = 27,032,386.38
  5. Step 5: Solve for x
    x = 27,032,386.38/5,759.53
  6. Step 6: Final answer
    x = 4,693.51

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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.