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Finding the Fourth Proportional to 5,332.53, 7,999.73 and 1,821.71

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Solution

The fourth proportional to 5,332.53, 7,999.73 and 1,821.71 is: 2,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.53 : 7,999.73 = 1,821.71 : x
  2. Step 2: Convert to fraction form
    5,332.53/7,999.73 = 1,821.71/x
  3. Step 3: Cross multiply
    5,332.53x = 7,999.73 × 1,821.71
  4. Step 4: Simplify right side
    5,332.53x = 14,573,188.14
  5. Step 5: Solve for x
    x = 14,573,188.14/5,332.53
  6. Step 6: Final answer
    x = 2,732.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.