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Finding the Fourth Proportional to 3,807.01, 5,712.22 and 2,419.99

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Solution

The fourth proportional to 3,807.01, 5,712.22 and 2,419.99 is: 3,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.01 : 5,712.22 = 2,419.99 : x
  2. Step 2: Convert to fraction form
    3,807.01/5,712.22 = 2,419.99/x
  3. Step 3: Cross multiply
    3,807.01x = 5,712.22 × 2,419.99
  4. Step 4: Simplify right side
    3,807.01x = 13,823,504.02
  5. Step 5: Solve for x
    x = 13,823,504.02/3,807.01
  6. Step 6: Final answer
    x = 3,631.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.