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Finding the Fourth Proportional to 4,587.24, 6,822 and 4,441.44

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Solution

The fourth proportional to 4,587.24, 6,822 and 4,441.44 is: 6,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.24 : 6,822 = 4,441.44 : x
  2. Step 2: Convert to fraction form
    4,587.24/6,822 = 4,441.44/x
  3. Step 3: Cross multiply
    4,587.24x = 6,822 × 4,441.44
  4. Step 4: Simplify right side
    4,587.24x = 30,299,503.68
  5. Step 5: Solve for x
    x = 30,299,503.68/4,587.24
  6. Step 6: Final answer
    x = 6,605.17

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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.