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Finding the Fourth Proportional to 5,464.60, 8,194.02 and 2,383

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Solution

The fourth proportional to 5,464.60, 8,194.02 and 2,383 is: 3,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.60 : 8,194.02 = 2,383 : x
  2. Step 2: Convert to fraction form
    5,464.60/8,194.02 = 2,383/x
  3. Step 3: Cross multiply
    5,464.60x = 8,194.02 × 2,383
  4. Step 4: Simplify right side
    5,464.60x = 19,526,349.66
  5. Step 5: Solve for x
    x = 19,526,349.66/5,464.60
  6. Step 6: Final answer
    x = 3,573.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.