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Finding the Fourth Proportional to 5,791.10, 7,994.50 and 4,116.02

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Solution

The fourth proportional to 5,791.10, 7,994.50 and 4,116.02 is: 5,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.10 : 7,994.50 = 4,116.02 : x
  2. Step 2: Convert to fraction form
    5,791.10/7,994.50 = 4,116.02/x
  3. Step 3: Cross multiply
    5,791.10x = 7,994.50 × 4,116.02
  4. Step 4: Simplify right side
    5,791.10x = 32,905,471.63
  5. Step 5: Solve for x
    x = 32,905,471.63/5,791.10
  6. Step 6: Final answer
    x = 5,682.08

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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.