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Finding the Fourth Proportional to 3,863.80, 5,795.18 and 2,304.01

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Solution

The fourth proportional to 3,863.80, 5,795.18 and 2,304.01 is: 3,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.80 : 5,795.18 = 2,304.01 : x
  2. Step 2: Convert to fraction form
    3,863.80/5,795.18 = 2,304.01/x
  3. Step 3: Cross multiply
    3,863.80x = 5,795.18 × 2,304.01
  4. Step 4: Simplify right side
    3,863.80x = 13,352,157.04
  5. Step 5: Solve for x
    x = 13,352,157.04/3,863.80
  6. Step 6: Final answer
    x = 3,455.70

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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.