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Finding the Fourth Proportional to 4,157.19, 6,238.06 and 1,785.06

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Solution

The fourth proportional to 4,157.19, 6,238.06 and 1,785.06 is: 2,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.19 : 6,238.06 = 1,785.06 : x
  2. Step 2: Convert to fraction form
    4,157.19/6,238.06 = 1,785.06/x
  3. Step 3: Cross multiply
    4,157.19x = 6,238.06 × 1,785.06
  4. Step 4: Simplify right side
    4,157.19x = 11,135,306.92
  5. Step 5: Solve for x
    x = 11,135,306.92/4,157.19
  6. Step 6: Final answer
    x = 2,678.57

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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.