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Finding the Fourth Proportional to 5,318.73, 7,974.72 and 1,808.46

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Solution

The fourth proportional to 5,318.73, 7,974.72 and 1,808.46 is: 2,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.73 : 7,974.72 = 1,808.46 : x
  2. Step 2: Convert to fraction form
    5,318.73/7,974.72 = 1,808.46/x
  3. Step 3: Cross multiply
    5,318.73x = 7,974.72 × 1,808.46
  4. Step 4: Simplify right side
    5,318.73x = 14,421,962.13
  5. Step 5: Solve for x
    x = 14,421,962.13/5,318.73
  6. Step 6: Final answer
    x = 2,711.54

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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.