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Finding the Fourth Proportional to 3,239.86, 4,471.11 and 1,823.32

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Solution

The fourth proportional to 3,239.86, 4,471.11 and 1,823.32 is: 2,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.86 : 4,471.11 = 1,823.32 : x
  2. Step 2: Convert to fraction form
    3,239.86/4,471.11 = 1,823.32/x
  3. Step 3: Cross multiply
    3,239.86x = 4,471.11 × 1,823.32
  4. Step 4: Simplify right side
    3,239.86x = 8,152,264.29
  5. Step 5: Solve for x
    x = 8,152,264.29/3,239.86
  6. Step 6: Final answer
    x = 2,516.24

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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.