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Finding the Fourth Proportional to 3,854.77, 5,771.37 and 2,464.61

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Solution

The fourth proportional to 3,854.77, 5,771.37 and 2,464.61 is: 3,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.77 : 5,771.37 = 2,464.61 : x
  2. Step 2: Convert to fraction form
    3,854.77/5,771.37 = 2,464.61/x
  3. Step 3: Cross multiply
    3,854.77x = 5,771.37 × 2,464.61
  4. Step 4: Simplify right side
    3,854.77x = 14,224,176.22
  5. Step 5: Solve for x
    x = 14,224,176.22/3,854.77
  6. Step 6: Final answer
    x = 3,690.02

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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.