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Finding the Fourth Proportional to 3,733.52, 5,152.02 and 2,241.50

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Solution

The fourth proportional to 3,733.52, 5,152.02 and 2,241.50 is: 3,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.52 : 5,152.02 = 2,241.50 : x
  2. Step 2: Convert to fraction form
    3,733.52/5,152.02 = 2,241.50/x
  3. Step 3: Cross multiply
    3,733.52x = 5,152.02 × 2,241.50
  4. Step 4: Simplify right side
    3,733.52x = 11,548,252.83
  5. Step 5: Solve for x
    x = 11,548,252.83/3,733.52
  6. Step 6: Final answer
    x = 3,093.13

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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.