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Finding the Fourth Proportional to 3,521.44, 4,859.44 and 1,949.28

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Solution

The fourth proportional to 3,521.44, 4,859.44 and 1,949.28 is: 2,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.44 : 4,859.44 = 1,949.28 : x
  2. Step 2: Convert to fraction form
    3,521.44/4,859.44 = 1,949.28/x
  3. Step 3: Cross multiply
    3,521.44x = 4,859.44 × 1,949.28
  4. Step 4: Simplify right side
    3,521.44x = 9,472,409.20
  5. Step 5: Solve for x
    x = 9,472,409.20/3,521.44
  6. Step 6: Final answer
    x = 2,689.92

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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.