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Finding the Fourth Proportional to 4,077.43, 6,114.04 and 1,994.32

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Solution

The fourth proportional to 4,077.43, 6,114.04 and 1,994.32 is: 2,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.43 : 6,114.04 = 1,994.32 : x
  2. Step 2: Convert to fraction form
    4,077.43/6,114.04 = 1,994.32/x
  3. Step 3: Cross multiply
    4,077.43x = 6,114.04 × 1,994.32
  4. Step 4: Simplify right side
    4,077.43x = 12,193,352.25
  5. Step 5: Solve for x
    x = 12,193,352.25/4,077.43
  6. Step 6: Final answer
    x = 2,990.45

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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.