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Finding the Fourth Proportional to 5,622.57, 7,754.76 and 4,786.02

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Solution

The fourth proportional to 5,622.57, 7,754.76 and 4,786.02 is: 6,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.57 : 7,754.76 = 4,786.02 : x
  2. Step 2: Convert to fraction form
    5,622.57/7,754.76 = 4,786.02/x
  3. Step 3: Cross multiply
    5,622.57x = 7,754.76 × 4,786.02
  4. Step 4: Simplify right side
    5,622.57x = 37,114,436.46
  5. Step 5: Solve for x
    x = 37,114,436.46/5,622.57
  6. Step 6: Final answer
    x = 6,600.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.