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Finding the Fourth Proportional to 4,917, 6,784.02 and 2,926.56

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Solution

The fourth proportional to 4,917, 6,784.02 and 2,926.56 is: 4,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917 : 6,784.02 = 2,926.56 : x
  2. Step 2: Convert to fraction form
    4,917/6,784.02 = 2,926.56/x
  3. Step 3: Cross multiply
    4,917x = 6,784.02 × 2,926.56
  4. Step 4: Simplify right side
    4,917x = 19,853,841.57
  5. Step 5: Solve for x
    x = 19,853,841.57/4,917
  6. Step 6: Final answer
    x = 4,037.80

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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.