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Finding the Fourth Proportional to 4,338.46, 6,507.12 and 1,218.70

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Solution

The fourth proportional to 4,338.46, 6,507.12 and 1,218.70 is: 1,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.46 : 6,507.12 = 1,218.70 : x
  2. Step 2: Convert to fraction form
    4,338.46/6,507.12 = 1,218.70/x
  3. Step 3: Cross multiply
    4,338.46x = 6,507.12 × 1,218.70
  4. Step 4: Simplify right side
    4,338.46x = 7,930,227.14
  5. Step 5: Solve for x
    x = 7,930,227.14/4,338.46
  6. Step 6: Final answer
    x = 1,827.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.