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Finding the Fourth Proportional to 3,867.64, 5,801.70 and 1,559.08

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Solution

The fourth proportional to 3,867.64, 5,801.70 and 1,559.08 is: 2,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.64 : 5,801.70 = 1,559.08 : x
  2. Step 2: Convert to fraction form
    3,867.64/5,801.70 = 1,559.08/x
  3. Step 3: Cross multiply
    3,867.64x = 5,801.70 × 1,559.08
  4. Step 4: Simplify right side
    3,867.64x = 9,045,314.44
  5. Step 5: Solve for x
    x = 9,045,314.44/3,867.64
  6. Step 6: Final answer
    x = 2,338.72

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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.