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Finding the Fourth Proportional to 3,330.71, 4,990.59 and 1,138.24

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Solution

The fourth proportional to 3,330.71, 4,990.59 and 1,138.24 is: 1,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.71 : 4,990.59 = 1,138.24 : x
  2. Step 2: Convert to fraction form
    3,330.71/4,990.59 = 1,138.24/x
  3. Step 3: Cross multiply
    3,330.71x = 4,990.59 × 1,138.24
  4. Step 4: Simplify right side
    3,330.71x = 5,680,489.16
  5. Step 5: Solve for x
    x = 5,680,489.16/3,330.71
  6. Step 6: Final answer
    x = 1,705.49

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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.