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Finding the Fourth Proportional to 5,759.04, 7,946.24 and 3,400.64

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Solution

The fourth proportional to 5,759.04, 7,946.24 and 3,400.64 is: 4,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.04 : 7,946.24 = 3,400.64 : x
  2. Step 2: Convert to fraction form
    5,759.04/7,946.24 = 3,400.64/x
  3. Step 3: Cross multiply
    5,759.04x = 7,946.24 × 3,400.64
  4. Step 4: Simplify right side
    5,759.04x = 27,022,301.59
  5. Step 5: Solve for x
    x = 27,022,301.59/5,759.04
  6. Step 6: Final answer
    x = 4,692.15

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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.