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Finding the Fourth Proportional to 3,722.84, 5,137.14 and 2,230.72

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Solution

The fourth proportional to 3,722.84, 5,137.14 and 2,230.72 is: 3,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.84 : 5,137.14 = 2,230.72 : x
  2. Step 2: Convert to fraction form
    3,722.84/5,137.14 = 2,230.72/x
  3. Step 3: Cross multiply
    3,722.84x = 5,137.14 × 2,230.72
  4. Step 4: Simplify right side
    3,722.84x = 11,459,502.52
  5. Step 5: Solve for x
    x = 11,459,502.52/3,722.84
  6. Step 6: Final answer
    x = 3,078.16

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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.