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Finding the Fourth Proportional to 5,431.06, 7,494.75 and 2,947.06

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Solution

The fourth proportional to 5,431.06, 7,494.75 and 2,947.06 is: 4,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.06 : 7,494.75 = 2,947.06 : x
  2. Step 2: Convert to fraction form
    5,431.06/7,494.75 = 2,947.06/x
  3. Step 3: Cross multiply
    5,431.06x = 7,494.75 × 2,947.06
  4. Step 4: Simplify right side
    5,431.06x = 22,087,477.94
  5. Step 5: Solve for x
    x = 22,087,477.94/5,431.06
  6. Step 6: Final answer
    x = 4,066.88

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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.