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Finding the Fourth Proportional to 4,238.41, 6,357.62 and 1,160.41

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Solution

The fourth proportional to 4,238.41, 6,357.62 and 1,160.41 is: 1,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.41 : 6,357.62 = 1,160.41 : x
  2. Step 2: Convert to fraction form
    4,238.41/6,357.62 = 1,160.41/x
  3. Step 3: Cross multiply
    4,238.41x = 6,357.62 × 1,160.41
  4. Step 4: Simplify right side
    4,238.41x = 7,377,445.82
  5. Step 5: Solve for x
    x = 7,377,445.82/4,238.41
  6. Step 6: Final answer
    x = 1,740.62

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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.