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Finding the Fourth Proportional to 3,349.92, 4,990.90 and 3,184.68

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Solution

The fourth proportional to 3,349.92, 4,990.90 and 3,184.68 is: 4,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.92 : 4,990.90 = 3,184.68 : x
  2. Step 2: Convert to fraction form
    3,349.92/4,990.90 = 3,184.68/x
  3. Step 3: Cross multiply
    3,349.92x = 4,990.90 × 3,184.68
  4. Step 4: Simplify right side
    3,349.92x = 15,894,419.41
  5. Step 5: Solve for x
    x = 15,894,419.41/3,349.92
  6. Step 6: Final answer
    x = 4,744.72

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.