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Finding the Fourth Proportional to 4,618.74, 6,932.02 and 1,847.36

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Solution

The fourth proportional to 4,618.74, 6,932.02 and 1,847.36 is: 2,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.74 : 6,932.02 = 1,847.36 : x
  2. Step 2: Convert to fraction form
    4,618.74/6,932.02 = 1,847.36/x
  3. Step 3: Cross multiply
    4,618.74x = 6,932.02 × 1,847.36
  4. Step 4: Simplify right side
    4,618.74x = 12,805,936.47
  5. Step 5: Solve for x
    x = 12,805,936.47/4,618.74
  6. Step 6: Final answer
    x = 2,772.60

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