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Finding the Fourth Proportional to 3,806.88, 5,253.12 and 2,235.36

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Solution

The fourth proportional to 3,806.88, 5,253.12 and 2,235.36 is: 3,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.88 : 5,253.12 = 2,235.36 : x
  2. Step 2: Convert to fraction form
    3,806.88/5,253.12 = 2,235.36/x
  3. Step 3: Cross multiply
    3,806.88x = 5,253.12 × 2,235.36
  4. Step 4: Simplify right side
    3,806.88x = 11,742,614.32
  5. Step 5: Solve for x
    x = 11,742,614.32/3,806.88
  6. Step 6: Final answer
    x = 3,084.58

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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.