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Finding the Fourth Proportional to 3,866.12, 5,795.94 and 1,559.24

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Solution

The fourth proportional to 3,866.12, 5,795.94 and 1,559.24 is: 2,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.12 : 5,795.94 = 1,559.24 : x
  2. Step 2: Convert to fraction form
    3,866.12/5,795.94 = 1,559.24/x
  3. Step 3: Cross multiply
    3,866.12x = 5,795.94 × 1,559.24
  4. Step 4: Simplify right side
    3,866.12x = 9,037,261.49
  5. Step 5: Solve for x
    x = 9,037,261.49/3,866.12
  6. Step 6: Final answer
    x = 2,337.55

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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.