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Finding the Fourth Proportional to 4,400.39, 6,554.74 and 4,166.65

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Solution

The fourth proportional to 4,400.39, 6,554.74 and 4,166.65 is: 6,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.39 : 6,554.74 = 4,166.65 : x
  2. Step 2: Convert to fraction form
    4,400.39/6,554.74 = 4,166.65/x
  3. Step 3: Cross multiply
    4,400.39x = 6,554.74 × 4,166.65
  4. Step 4: Simplify right side
    4,400.39x = 27,311,286.59
  5. Step 5: Solve for x
    x = 27,311,286.59/4,400.39
  6. Step 6: Final answer
    x = 6,206.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.