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Finding the Fourth Proportional to 3,783.52, 5,675.28 and 2,239.84

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Solution

The fourth proportional to 3,783.52, 5,675.28 and 2,239.84 is: 3,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.52 : 5,675.28 = 2,239.84 : x
  2. Step 2: Convert to fraction form
    3,783.52/5,675.28 = 2,239.84/x
  3. Step 3: Cross multiply
    3,783.52x = 5,675.28 × 2,239.84
  4. Step 4: Simplify right side
    3,783.52x = 12,711,719.16
  5. Step 5: Solve for x
    x = 12,711,719.16/3,783.52
  6. Step 6: Final answer
    x = 3,359.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.