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Finding the Fourth Proportional to 5,758.07, 7,946.15 and 3,400.36

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Solution

The fourth proportional to 5,758.07, 7,946.15 and 3,400.36 is: 4,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.07 : 7,946.15 = 3,400.36 : x
  2. Step 2: Convert to fraction form
    5,758.07/7,946.15 = 3,400.36/x
  3. Step 3: Cross multiply
    5,758.07x = 7,946.15 × 3,400.36
  4. Step 4: Simplify right side
    5,758.07x = 27,019,770.61
  5. Step 5: Solve for x
    x = 27,019,770.61/5,758.07
  6. Step 6: Final answer
    x = 4,692.50

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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.