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Finding the Fourth Proportional to 3,288.96, 4,536.24 and 2,239.20

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Solution

The fourth proportional to 3,288.96, 4,536.24 and 2,239.20 is: 3,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.96 : 4,536.24 = 2,239.20 : x
  2. Step 2: Convert to fraction form
    3,288.96/4,536.24 = 2,239.20/x
  3. Step 3: Cross multiply
    3,288.96x = 4,536.24 × 2,239.20
  4. Step 4: Simplify right side
    3,288.96x = 10,157,548.61
  5. Step 5: Solve for x
    x = 10,157,548.61/3,288.96
  6. Step 6: Final answer
    x = 3,088.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.