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Finding the Fourth Proportional to 4,803.80, 7,206.81 and 1,882.13

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Solution

The fourth proportional to 4,803.80, 7,206.81 and 1,882.13 is: 2,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.80 : 7,206.81 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    4,803.80/7,206.81 = 1,882.13/x
  3. Step 3: Cross multiply
    4,803.80x = 7,206.81 × 1,882.13
  4. Step 4: Simplify right side
    4,803.80x = 13,564,110.21
  5. Step 5: Solve for x
    x = 13,564,110.21/4,803.80
  6. Step 6: Final answer
    x = 2,823.62

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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.