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Finding the Fourth Proportional to 3,107.01, 4,659.72 and 1,257.59

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Solution

The fourth proportional to 3,107.01, 4,659.72 and 1,257.59 is: 1,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.01 : 4,659.72 = 1,257.59 : x
  2. Step 2: Convert to fraction form
    3,107.01/4,659.72 = 1,257.59/x
  3. Step 3: Cross multiply
    3,107.01x = 4,659.72 × 1,257.59
  4. Step 4: Simplify right side
    3,107.01x = 5,859,993.98
  5. Step 5: Solve for x
    x = 5,859,993.98/3,107.01
  6. Step 6: Final answer
    x = 1,886.06

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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.