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Finding the Fourth Proportional to 5,111.64, 7,660.80 and 2,334.24

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Solution

The fourth proportional to 5,111.64, 7,660.80 and 2,334.24 is: 3,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.64 : 7,660.80 = 2,334.24 : x
  2. Step 2: Convert to fraction form
    5,111.64/7,660.80 = 2,334.24/x
  3. Step 3: Cross multiply
    5,111.64x = 7,660.80 × 2,334.24
  4. Step 4: Simplify right side
    5,111.64x = 17,882,145.79
  5. Step 5: Solve for x
    x = 17,882,145.79/5,111.64
  6. Step 6: Final answer
    x = 3,498.32

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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.