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Finding the Fourth Proportional to 4,803.04, 6,621.66 and 3,682

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Solution

The fourth proportional to 4,803.04, 6,621.66 and 3,682 is: 5,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.04 : 6,621.66 = 3,682 : x
  2. Step 2: Convert to fraction form
    4,803.04/6,621.66 = 3,682/x
  3. Step 3: Cross multiply
    4,803.04x = 6,621.66 × 3,682
  4. Step 4: Simplify right side
    4,803.04x = 24,380,952.12
  5. Step 5: Solve for x
    x = 24,380,952.12/4,803.04
  6. Step 6: Final answer
    x = 5,076.15

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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.