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Finding the Fourth Proportional to 5,753.50, 7,941.98 and 3,364.24

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Solution

The fourth proportional to 5,753.50, 7,941.98 and 3,364.24 is: 4,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.50 : 7,941.98 = 3,364.24 : x
  2. Step 2: Convert to fraction form
    5,753.50/7,941.98 = 3,364.24/x
  3. Step 3: Cross multiply
    5,753.50x = 7,941.98 × 3,364.24
  4. Step 4: Simplify right side
    5,753.50x = 26,718,726.80
  5. Step 5: Solve for x
    x = 26,718,726.80/5,753.50
  6. Step 6: Final answer
    x = 4,643.91

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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.