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Finding the Fourth Proportional to 5,054.88, 6,976.34 and 2,959

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Solution

The fourth proportional to 5,054.88, 6,976.34 and 2,959 is: 4,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.88 : 6,976.34 = 2,959 : x
  2. Step 2: Convert to fraction form
    5,054.88/6,976.34 = 2,959/x
  3. Step 3: Cross multiply
    5,054.88x = 6,976.34 × 2,959
  4. Step 4: Simplify right side
    5,054.88x = 20,642,990.06
  5. Step 5: Solve for x
    x = 20,642,990.06/5,054.88
  6. Step 6: Final answer
    x = 4,083.77

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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.