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Finding the Fourth Proportional to 3,842.48, 5,298.18 and 3,281.24

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Solution

The fourth proportional to 3,842.48, 5,298.18 and 3,281.24 is: 4,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.48 : 5,298.18 = 3,281.24 : x
  2. Step 2: Convert to fraction form
    3,842.48/5,298.18 = 3,281.24/x
  3. Step 3: Cross multiply
    3,842.48x = 5,298.18 × 3,281.24
  4. Step 4: Simplify right side
    3,842.48x = 17,384,600.14
  5. Step 5: Solve for x
    x = 17,384,600.14/3,842.48
  6. Step 6: Final answer
    x = 4,524.32

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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.