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Finding the Fourth Proportional to 5,772.48, 7,965.12 and 3,288

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Solution

The fourth proportional to 5,772.48, 7,965.12 and 3,288 is: 4,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.48 : 7,965.12 = 3,288 : x
  2. Step 2: Convert to fraction form
    5,772.48/7,965.12 = 3,288/x
  3. Step 3: Cross multiply
    5,772.48x = 7,965.12 × 3,288
  4. Step 4: Simplify right side
    5,772.48x = 26,189,314.56
  5. Step 5: Solve for x
    x = 26,189,314.56/5,772.48
  6. Step 6: Final answer
    x = 4,536.93

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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.