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Finding the Fourth Proportional to 4,238.68, 6,357.66 and 1,160.68

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Solution

The fourth proportional to 4,238.68, 6,357.66 and 1,160.68 is: 1,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.68 : 6,357.66 = 1,160.68 : x
  2. Step 2: Convert to fraction form
    4,238.68/6,357.66 = 1,160.68/x
  3. Step 3: Cross multiply
    4,238.68x = 6,357.66 × 1,160.68
  4. Step 4: Simplify right side
    4,238.68x = 7,379,208.81
  5. Step 5: Solve for x
    x = 7,379,208.81/4,238.68
  6. Step 6: Final answer
    x = 1,740.92

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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.