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Finding the Fourth Proportional to 3,460.48, 5,190.16 and 994.74

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Solution

The fourth proportional to 3,460.48, 5,190.16 and 994.74 is: 1,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.48 : 5,190.16 = 994.74 : x
  2. Step 2: Convert to fraction form
    3,460.48/5,190.16 = 994.74/x
  3. Step 3: Cross multiply
    3,460.48x = 5,190.16 × 994.74
  4. Step 4: Simplify right side
    3,460.48x = 5,162,839.67
  5. Step 5: Solve for x
    x = 5,162,839.67/3,460.48
  6. Step 6: Final answer
    x = 1,491.94

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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.