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Finding the Fourth Proportional to 3,237.84, 4,851.24 and 2,144.28

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Solution

The fourth proportional to 3,237.84, 4,851.24 and 2,144.28 is: 3,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.84 : 4,851.24 = 2,144.28 : x
  2. Step 2: Convert to fraction form
    3,237.84/4,851.24 = 2,144.28/x
  3. Step 3: Cross multiply
    3,237.84x = 4,851.24 × 2,144.28
  4. Step 4: Simplify right side
    3,237.84x = 10,402,416.91
  5. Step 5: Solve for x
    x = 10,402,416.91/3,237.84
  6. Step 6: Final answer
    x = 3,212.76

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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.