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Finding the Fourth Proportional to 5,522.64, 8,243.34 and 4,866.48

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Solution

The fourth proportional to 5,522.64, 8,243.34 and 4,866.48 is: 7,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.64 : 8,243.34 = 4,866.48 : x
  2. Step 2: Convert to fraction form
    5,522.64/8,243.34 = 4,866.48/x
  3. Step 3: Cross multiply
    5,522.64x = 8,243.34 × 4,866.48
  4. Step 4: Simplify right side
    5,522.64x = 40,116,049.24
  5. Step 5: Solve for x
    x = 40,116,049.24/5,522.64
  6. Step 6: Final answer
    x = 7,263.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.