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Finding the Fourth Proportional to 2,917, 4,356.05 and 2,367.82

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Solution

The fourth proportional to 2,917, 4,356.05 and 2,367.82 is: 3,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917 : 4,356.05 = 2,367.82 : x
  2. Step 2: Convert to fraction form
    2,917/4,356.05 = 2,367.82/x
  3. Step 3: Cross multiply
    2,917x = 4,356.05 × 2,367.82
  4. Step 4: Simplify right side
    2,917x = 10,314,342.31
  5. Step 5: Solve for x
    x = 10,314,342.31/2,917
  6. Step 6: Final answer
    x = 3,535.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.