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Finding the Fourth Proportional to 4,331.64, 6,498.24 and 2,023.14

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Solution

The fourth proportional to 4,331.64, 6,498.24 and 2,023.14 is: 3,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.64 : 6,498.24 = 2,023.14 : x
  2. Step 2: Convert to fraction form
    4,331.64/6,498.24 = 2,023.14/x
  3. Step 3: Cross multiply
    4,331.64x = 6,498.24 × 2,023.14
  4. Step 4: Simplify right side
    4,331.64x = 13,146,849.27
  5. Step 5: Solve for x
    x = 13,146,849.27/4,331.64
  6. Step 6: Final answer
    x = 3,035.07

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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.