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Finding the Fourth Proportional to 4,891.30, 7,342.42 and 1,971.66

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Solution

The fourth proportional to 4,891.30, 7,342.42 and 1,971.66 is: 2,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.30 : 7,342.42 = 1,971.66 : x
  2. Step 2: Convert to fraction form
    4,891.30/7,342.42 = 1,971.66/x
  3. Step 3: Cross multiply
    4,891.30x = 7,342.42 × 1,971.66
  4. Step 4: Simplify right side
    4,891.30x = 14,476,755.82
  5. Step 5: Solve for x
    x = 14,476,755.82/4,891.30
  6. Step 6: Final answer
    x = 2,959.69

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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.