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Finding the Fourth Proportional to 3,858.24, 5,314.88 and 3,616.32

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Solution

The fourth proportional to 3,858.24, 5,314.88 and 3,616.32 is: 4,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.24 : 5,314.88 = 3,616.32 : x
  2. Step 2: Convert to fraction form
    3,858.24/5,314.88 = 3,616.32/x
  3. Step 3: Cross multiply
    3,858.24x = 5,314.88 × 3,616.32
  4. Step 4: Simplify right side
    3,858.24x = 19,220,306.84
  5. Step 5: Solve for x
    x = 19,220,306.84/3,858.24
  6. Step 6: Final answer
    x = 4,981.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.