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Finding the Fourth Proportional to 5,782.62, 7,980.12 and 3,264.24

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Solution

The fourth proportional to 5,782.62, 7,980.12 and 3,264.24 is: 4,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.62 : 7,980.12 = 3,264.24 : x
  2. Step 2: Convert to fraction form
    5,782.62/7,980.12 = 3,264.24/x
  3. Step 3: Cross multiply
    5,782.62x = 7,980.12 × 3,264.24
  4. Step 4: Simplify right side
    5,782.62x = 26,049,026.91
  5. Step 5: Solve for x
    x = 26,049,026.91/5,782.62
  6. Step 6: Final answer
    x = 4,504.71

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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.