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Finding the Fourth Proportional to 3,804.32, 5,248.56 and 2,231.84

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Solution

The fourth proportional to 3,804.32, 5,248.56 and 2,231.84 is: 3,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.32 : 5,248.56 = 2,231.84 : x
  2. Step 2: Convert to fraction form
    3,804.32/5,248.56 = 2,231.84/x
  3. Step 3: Cross multiply
    3,804.32x = 5,248.56 × 2,231.84
  4. Step 4: Simplify right side
    3,804.32x = 11,713,946.15
  5. Step 5: Solve for x
    x = 11,713,946.15/3,804.32
  6. Step 6: Final answer
    x = 3,079.12

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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.