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Finding the Fourth Proportional to 4,238.19, 6,357.22 and 1,160.19

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Solution

The fourth proportional to 4,238.19, 6,357.22 and 1,160.19 is: 1,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.19 : 6,357.22 = 1,160.19 : x
  2. Step 2: Convert to fraction form
    4,238.19/6,357.22 = 1,160.19/x
  3. Step 3: Cross multiply
    4,238.19x = 6,357.22 × 1,160.19
  4. Step 4: Simplify right side
    4,238.19x = 7,375,580.17
  5. Step 5: Solve for x
    x = 7,375,580.17/4,238.19
  6. Step 6: Final answer
    x = 1,740.27

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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.