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Finding the Fourth Proportional to 5,764.21, 7,952.31 and 3,639.17

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Solution

The fourth proportional to 5,764.21, 7,952.31 and 3,639.17 is: 5,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.21 : 7,952.31 = 3,639.17 : x
  2. Step 2: Convert to fraction form
    5,764.21/7,952.31 = 3,639.17/x
  3. Step 3: Cross multiply
    5,764.21x = 7,952.31 × 3,639.17
  4. Step 4: Simplify right side
    5,764.21x = 28,939,827.86
  5. Step 5: Solve for x
    x = 28,939,827.86/5,764.21
  6. Step 6: Final answer
    x = 5,020.61

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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.