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Finding the Fourth Proportional to 3,802.44, 5,249.52 and 2,475.48

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Solution

The fourth proportional to 3,802.44, 5,249.52 and 2,475.48 is: 3,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.44 : 5,249.52 = 2,475.48 : x
  2. Step 2: Convert to fraction form
    3,802.44/5,249.52 = 2,475.48/x
  3. Step 3: Cross multiply
    3,802.44x = 5,249.52 × 2,475.48
  4. Step 4: Simplify right side
    3,802.44x = 12,995,081.77
  5. Step 5: Solve for x
    x = 12,995,081.77/3,802.44
  6. Step 6: Final answer
    x = 3,417.56

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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.