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Finding the Fourth Proportional to 3,854.93, 5,776.01 and 3,238.92

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Solution

The fourth proportional to 3,854.93, 5,776.01 and 3,238.92 is: 4,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.93 : 5,776.01 = 3,238.92 : x
  2. Step 2: Convert to fraction form
    3,854.93/5,776.01 = 3,238.92/x
  3. Step 3: Cross multiply
    3,854.93x = 5,776.01 × 3,238.92
  4. Step 4: Simplify right side
    3,854.93x = 18,708,030.26
  5. Step 5: Solve for x
    x = 18,708,030.26/3,854.93
  6. Step 6: Final answer
    x = 4,853.02

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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.