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Finding the Fourth Proportional to 5,492.70, 8,237.43 and 2,894.22

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Solution

The fourth proportional to 5,492.70, 8,237.43 and 2,894.22 is: 4,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.70 : 8,237.43 = 2,894.22 : x
  2. Step 2: Convert to fraction form
    5,492.70/8,237.43 = 2,894.22/x
  3. Step 3: Cross multiply
    5,492.70x = 8,237.43 × 2,894.22
  4. Step 4: Simplify right side
    5,492.70x = 23,840,934.65
  5. Step 5: Solve for x
    x = 23,840,934.65/5,492.70
  6. Step 6: Final answer
    x = 4,340.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.