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Finding the Fourth Proportional to 5,216.54, 7,822.98 and 2,294.06

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Solution

The fourth proportional to 5,216.54, 7,822.98 and 2,294.06 is: 3,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.54 : 7,822.98 = 2,294.06 : x
  2. Step 2: Convert to fraction form
    5,216.54/7,822.98 = 2,294.06/x
  3. Step 3: Cross multiply
    5,216.54x = 7,822.98 × 2,294.06
  4. Step 4: Simplify right side
    5,216.54x = 17,946,346.38
  5. Step 5: Solve for x
    x = 17,946,346.38/5,216.54
  6. Step 6: Final answer
    x = 3,440.28

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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.