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Finding the Fourth Proportional to 5,674, 7,830.12 and 3,318.12

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Solution

The fourth proportional to 5,674, 7,830.12 and 3,318.12 is: 4,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 7,830.12 = 3,318.12 : x
  2. Step 2: Convert to fraction form
    5,674/7,830.12 = 3,318.12/x
  3. Step 3: Cross multiply
    5,674x = 7,830.12 × 3,318.12
  4. Step 4: Simplify right side
    5,674x = 25,981,277.77
  5. Step 5: Solve for x
    x = 25,981,277.77/5,674
  6. Step 6: Final answer
    x = 4,579.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.