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Finding the Fourth Proportional to 3,464.69, 4,777.64 and 2,284.25

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Solution

The fourth proportional to 3,464.69, 4,777.64 and 2,284.25 is: 3,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.69 : 4,777.64 = 2,284.25 : x
  2. Step 2: Convert to fraction form
    3,464.69/4,777.64 = 2,284.25/x
  3. Step 3: Cross multiply
    3,464.69x = 4,777.64 × 2,284.25
  4. Step 4: Simplify right side
    3,464.69x = 10,913,312.75
  5. Step 5: Solve for x
    x = 10,913,312.75/3,464.69
  6. Step 6: Final answer
    x = 3,149.87

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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.