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Finding the Fourth Proportional to 5,566.34, 7,640.61 and 4,922.76

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Solution

The fourth proportional to 5,566.34, 7,640.61 and 4,922.76 is: 6,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.34 : 7,640.61 = 4,922.76 : x
  2. Step 2: Convert to fraction form
    5,566.34/7,640.61 = 4,922.76/x
  3. Step 3: Cross multiply
    5,566.34x = 7,640.61 × 4,922.76
  4. Step 4: Simplify right side
    5,566.34x = 37,612,889.28
  5. Step 5: Solve for x
    x = 37,612,889.28/5,566.34
  6. Step 6: Final answer
    x = 6,757.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.