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Finding the Fourth Proportional to 4,854.61, 7,249.01 and 3,856.22

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Solution

The fourth proportional to 4,854.61, 7,249.01 and 3,856.22 is: 5,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.61 : 7,249.01 = 3,856.22 : x
  2. Step 2: Convert to fraction form
    4,854.61/7,249.01 = 3,856.22/x
  3. Step 3: Cross multiply
    4,854.61x = 7,249.01 × 3,856.22
  4. Step 4: Simplify right side
    4,854.61x = 27,953,759.22
  5. Step 5: Solve for x
    x = 27,953,759.22/4,854.61
  6. Step 6: Final answer
    x = 5,758.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.