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Finding the Fourth Proportional to 5,782.12, 7,970.98 and 3,789.21

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Solution

The fourth proportional to 5,782.12, 7,970.98 and 3,789.21 is: 5,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.12 : 7,970.98 = 3,789.21 : x
  2. Step 2: Convert to fraction form
    5,782.12/7,970.98 = 3,789.21/x
  3. Step 3: Cross multiply
    5,782.12x = 7,970.98 × 3,789.21
  4. Step 4: Simplify right side
    5,782.12x = 30,203,718.11
  5. Step 5: Solve for x
    x = 30,203,718.11/5,782.12
  6. Step 6: Final answer
    x = 5,223.65

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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.