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Finding the Fourth Proportional to 3,464.01, 4,773.87 and 3,400.83

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Solution

The fourth proportional to 3,464.01, 4,773.87 and 3,400.83 is: 4,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.01 : 4,773.87 = 3,400.83 : x
  2. Step 2: Convert to fraction form
    3,464.01/4,773.87 = 3,400.83/x
  3. Step 3: Cross multiply
    3,464.01x = 4,773.87 × 3,400.83
  4. Step 4: Simplify right side
    3,464.01x = 16,235,120.31
  5. Step 5: Solve for x
    x = 16,235,120.31/3,464.01
  6. Step 6: Final answer
    x = 4,686.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.