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Finding the Fourth Proportional to 4,854.36, 7,288.83 and 2,776.71

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Solution

The fourth proportional to 4,854.36, 7,288.83 and 2,776.71 is: 4,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.36 : 7,288.83 = 2,776.71 : x
  2. Step 2: Convert to fraction form
    4,854.36/7,288.83 = 2,776.71/x
  3. Step 3: Cross multiply
    4,854.36x = 7,288.83 × 2,776.71
  4. Step 4: Simplify right side
    4,854.36x = 20,238,967.15
  5. Step 5: Solve for x
    x = 20,238,967.15/4,854.36
  6. Step 6: Final answer
    x = 4,169.23

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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.