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Finding the Fourth Proportional to 5,332.17, 7,998.02 and 1,822.49

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Solution

The fourth proportional to 5,332.17, 7,998.02 and 1,822.49 is: 2,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.17 : 7,998.02 = 1,822.49 : x
  2. Step 2: Convert to fraction form
    5,332.17/7,998.02 = 1,822.49/x
  3. Step 3: Cross multiply
    5,332.17x = 7,998.02 × 1,822.49
  4. Step 4: Simplify right side
    5,332.17x = 14,576,311.47
  5. Step 5: Solve for x
    x = 14,576,311.47/5,332.17
  6. Step 6: Final answer
    x = 2,733.65

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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.