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Finding the Fourth Proportional to 3,464.56, 4,779.57 and 2,066.50

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Solution

The fourth proportional to 3,464.56, 4,779.57 and 2,066.50 is: 2,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.56 : 4,779.57 = 2,066.50 : x
  2. Step 2: Convert to fraction form
    3,464.56/4,779.57 = 2,066.50/x
  3. Step 3: Cross multiply
    3,464.56x = 4,779.57 × 2,066.50
  4. Step 4: Simplify right side
    3,464.56x = 9,876,981.41
  5. Step 5: Solve for x
    x = 9,876,981.41/3,464.56
  6. Step 6: Final answer
    x = 2,850.86

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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.