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Finding the Fourth Proportional to 3,840.48, 5,295.42 and 3,279.24

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Solution

The fourth proportional to 3,840.48, 5,295.42 and 3,279.24 is: 4,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.48 : 5,295.42 = 3,279.24 : x
  2. Step 2: Convert to fraction form
    3,840.48/5,295.42 = 3,279.24/x
  3. Step 3: Cross multiply
    3,840.48x = 5,295.42 × 3,279.24
  4. Step 4: Simplify right side
    3,840.48x = 17,364,953.08
  5. Step 5: Solve for x
    x = 17,364,953.08/3,840.48
  6. Step 6: Final answer
    x = 4,521.56

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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.