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Finding the Fourth Proportional to 5,758.71, 7,947.77 and 3,520.14

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Solution

The fourth proportional to 5,758.71, 7,947.77 and 3,520.14 is: 4,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.71 : 7,947.77 = 3,520.14 : x
  2. Step 2: Convert to fraction form
    5,758.71/7,947.77 = 3,520.14/x
  3. Step 3: Cross multiply
    5,758.71x = 7,947.77 × 3,520.14
  4. Step 4: Simplify right side
    5,758.71x = 27,977,245.49
  5. Step 5: Solve for x
    x = 27,977,245.49/5,758.71
  6. Step 6: Final answer
    x = 4,858.25

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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.