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Finding the Fourth Proportional to 3,994.08, 5,989.32 and 1,527.16

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Solution

The fourth proportional to 3,994.08, 5,989.32 and 1,527.16 is: 2,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.08 : 5,989.32 = 1,527.16 : x
  2. Step 2: Convert to fraction form
    3,994.08/5,989.32 = 1,527.16/x
  3. Step 3: Cross multiply
    3,994.08x = 5,989.32 × 1,527.16
  4. Step 4: Simplify right side
    3,994.08x = 9,146,649.93
  5. Step 5: Solve for x
    x = 9,146,649.93/3,994.08
  6. Step 6: Final answer
    x = 2,290.05

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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.