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Finding the Fourth Proportional to 5,664.88, 7,818.47 and 3,306.57

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Solution

The fourth proportional to 5,664.88, 7,818.47 and 3,306.57 is: 4,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.88 : 7,818.47 = 3,306.57 : x
  2. Step 2: Convert to fraction form
    5,664.88/7,818.47 = 3,306.57/x
  3. Step 3: Cross multiply
    5,664.88x = 7,818.47 × 3,306.57
  4. Step 4: Simplify right side
    5,664.88x = 25,852,318.35
  5. Step 5: Solve for x
    x = 25,852,318.35/5,664.88
  6. Step 6: Final answer
    x = 4,563.61

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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.