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Finding the Fourth Proportional to 4,917.84, 6,781.80 and 3,240.24

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Solution

The fourth proportional to 4,917.84, 6,781.80 and 3,240.24 is: 4,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.84 : 6,781.80 = 3,240.24 : x
  2. Step 2: Convert to fraction form
    4,917.84/6,781.80 = 3,240.24/x
  3. Step 3: Cross multiply
    4,917.84x = 6,781.80 × 3,240.24
  4. Step 4: Simplify right side
    4,917.84x = 21,974,659.63
  5. Step 5: Solve for x
    x = 21,974,659.63/4,917.84
  6. Step 6: Final answer
    x = 4,468.36

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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.