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Finding the Fourth Proportional to 3,803.12, 5,705.01 and 1,463.70

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Solution

The fourth proportional to 3,803.12, 5,705.01 and 1,463.70 is: 2,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.12 : 5,705.01 = 1,463.70 : x
  2. Step 2: Convert to fraction form
    3,803.12/5,705.01 = 1,463.70/x
  3. Step 3: Cross multiply
    3,803.12x = 5,705.01 × 1,463.70
  4. Step 4: Simplify right side
    3,803.12x = 8,350,423.14
  5. Step 5: Solve for x
    x = 8,350,423.14/3,803.12
  6. Step 6: Final answer
    x = 2,195.68

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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.