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Finding the Fourth Proportional to 4,943.06, 7,414.96 and 1,565.58

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Solution

The fourth proportional to 4,943.06, 7,414.96 and 1,565.58 is: 2,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.06 : 7,414.96 = 1,565.58 : x
  2. Step 2: Convert to fraction form
    4,943.06/7,414.96 = 1,565.58/x
  3. Step 3: Cross multiply
    4,943.06x = 7,414.96 × 1,565.58
  4. Step 4: Simplify right side
    4,943.06x = 11,608,713.08
  5. Step 5: Solve for x
    x = 11,608,713.08/4,943.06
  6. Step 6: Final answer
    x = 2,348.49

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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.