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Finding the Fourth Proportional to 3,886.24, 5,826.28 and 2,037

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Solution

The fourth proportional to 3,886.24, 5,826.28 and 2,037 is: 3,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.24 : 5,826.28 = 2,037 : x
  2. Step 2: Convert to fraction form
    3,886.24/5,826.28 = 2,037/x
  3. Step 3: Cross multiply
    3,886.24x = 5,826.28 × 2,037
  4. Step 4: Simplify right side
    3,886.24x = 11,868,132.36
  5. Step 5: Solve for x
    x = 11,868,132.36/3,886.24
  6. Step 6: Final answer
    x = 3,053.89

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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.