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Finding the Fourth Proportional to 3,494.04, 5,240.46 and 994.92

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Solution

The fourth proportional to 3,494.04, 5,240.46 and 994.92 is: 1,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.04 : 5,240.46 = 994.92 : x
  2. Step 2: Convert to fraction form
    3,494.04/5,240.46 = 994.92/x
  3. Step 3: Cross multiply
    3,494.04x = 5,240.46 × 994.92
  4. Step 4: Simplify right side
    3,494.04x = 5,213,838.46
  5. Step 5: Solve for x
    x = 5,213,838.46/3,494.04
  6. Step 6: Final answer
    x = 1,492.21

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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.