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Finding the Fourth Proportional to 4,338.45, 6,507.21 and 1,218.56

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Solution

The fourth proportional to 4,338.45, 6,507.21 and 1,218.56 is: 1,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.45 : 6,507.21 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    4,338.45/6,507.21 = 1,218.56/x
  3. Step 3: Cross multiply
    4,338.45x = 6,507.21 × 1,218.56
  4. Step 4: Simplify right side
    4,338.45x = 7,929,397.85
  5. Step 5: Solve for x
    x = 7,929,397.85/4,338.45
  6. Step 6: Final answer
    x = 1,827.70

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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.