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Finding the Fourth Proportional to 3,464.82, 4,784.22 and 2,139.30

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Solution

The fourth proportional to 3,464.82, 4,784.22 and 2,139.30 is: 2,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.82 : 4,784.22 = 2,139.30 : x
  2. Step 2: Convert to fraction form
    3,464.82/4,784.22 = 2,139.30/x
  3. Step 3: Cross multiply
    3,464.82x = 4,784.22 × 2,139.30
  4. Step 4: Simplify right side
    3,464.82x = 10,234,881.85
  5. Step 5: Solve for x
    x = 10,234,881.85/3,464.82
  6. Step 6: Final answer
    x = 2,953.94

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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.