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Finding the Fourth Proportional to 4,932.48, 6,809.22 and 3,616.50

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Solution

The fourth proportional to 4,932.48, 6,809.22 and 3,616.50 is: 4,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.48 : 6,809.22 = 3,616.50 : x
  2. Step 2: Convert to fraction form
    4,932.48/6,809.22 = 3,616.50/x
  3. Step 3: Cross multiply
    4,932.48x = 6,809.22 × 3,616.50
  4. Step 4: Simplify right side
    4,932.48x = 24,625,544.13
  5. Step 5: Solve for x
    x = 24,625,544.13/4,932.48
  6. Step 6: Final answer
    x = 4,992.53

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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.