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Finding the Fourth Proportional to 5,758.35, 7,943.54 and 3,769.71

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Solution

The fourth proportional to 5,758.35, 7,943.54 and 3,769.71 is: 5,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.35 : 7,943.54 = 3,769.71 : x
  2. Step 2: Convert to fraction form
    5,758.35/7,943.54 = 3,769.71/x
  3. Step 3: Cross multiply
    5,758.35x = 7,943.54 × 3,769.71
  4. Step 4: Simplify right side
    5,758.35x = 29,944,823.32
  5. Step 5: Solve for x
    x = 29,944,823.32/5,758.35
  6. Step 6: Final answer
    x = 5,200.24

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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.