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Finding the Fourth Proportional to 5,212.49, 7,822.38 and 2,292.84

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Solution

The fourth proportional to 5,212.49, 7,822.38 and 2,292.84 is: 3,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.49 : 7,822.38 = 2,292.84 : x
  2. Step 2: Convert to fraction form
    5,212.49/7,822.38 = 2,292.84/x
  3. Step 3: Cross multiply
    5,212.49x = 7,822.38 × 2,292.84
  4. Step 4: Simplify right side
    5,212.49x = 17,935,465.76
  5. Step 5: Solve for x
    x = 17,935,465.76/5,212.49
  6. Step 6: Final answer
    x = 3,440.86

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