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Finding the Fourth Proportional to 4,238.48, 5,842.98 and 2,975.62

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Solution

The fourth proportional to 4,238.48, 5,842.98 and 2,975.62 is: 4,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.48 : 5,842.98 = 2,975.62 : x
  2. Step 2: Convert to fraction form
    4,238.48/5,842.98 = 2,975.62/x
  3. Step 3: Cross multiply
    4,238.48x = 5,842.98 × 2,975.62
  4. Step 4: Simplify right side
    4,238.48x = 17,386,458.93
  5. Step 5: Solve for x
    x = 17,386,458.93/4,238.48
  6. Step 6: Final answer
    x = 4,102.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.