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Finding the Fourth Proportional to 4,494.56, 6,727.88 and 4,111.80

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Solution

The fourth proportional to 4,494.56, 6,727.88 and 4,111.80 is: 6,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.56 : 6,727.88 = 4,111.80 : x
  2. Step 2: Convert to fraction form
    4,494.56/6,727.88 = 4,111.80/x
  3. Step 3: Cross multiply
    4,494.56x = 6,727.88 × 4,111.80
  4. Step 4: Simplify right side
    4,494.56x = 27,663,696.98
  5. Step 5: Solve for x
    x = 27,663,696.98/4,494.56
  6. Step 6: Final answer
    x = 6,154.93

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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.