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Finding the Fourth Proportional to 4,458.12, 6,685.84 and 1,338

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Solution

The fourth proportional to 4,458.12, 6,685.84 and 1,338 is: 2,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.12 : 6,685.84 = 1,338 : x
  2. Step 2: Convert to fraction form
    4,458.12/6,685.84 = 1,338/x
  3. Step 3: Cross multiply
    4,458.12x = 6,685.84 × 1,338
  4. Step 4: Simplify right side
    4,458.12x = 8,945,653.92
  5. Step 5: Solve for x
    x = 8,945,653.92/4,458.12
  6. Step 6: Final answer
    x = 2,006.60

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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.