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Finding the Fourth Proportional to 3,460.71, 5,190.51 and 994.97

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Solution

The fourth proportional to 3,460.71, 5,190.51 and 994.97 is: 1,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.71 : 5,190.51 = 994.97 : x
  2. Step 2: Convert to fraction form
    3,460.71/5,190.51 = 994.97/x
  3. Step 3: Cross multiply
    3,460.71x = 5,190.51 × 994.97
  4. Step 4: Simplify right side
    3,460.71x = 5,164,401.73
  5. Step 5: Solve for x
    x = 5,164,401.73/3,460.71
  6. Step 6: Final answer
    x = 1,492.30

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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.