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Finding the Fourth Proportional to 5,755.64, 7,942.20 and 3,237.35

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Solution

The fourth proportional to 5,755.64, 7,942.20 and 3,237.35 is: 4,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.64 : 7,942.20 = 3,237.35 : x
  2. Step 2: Convert to fraction form
    5,755.64/7,942.20 = 3,237.35/x
  3. Step 3: Cross multiply
    5,755.64x = 7,942.20 × 3,237.35
  4. Step 4: Simplify right side
    5,755.64x = 25,711,681.17
  5. Step 5: Solve for x
    x = 25,711,681.17/5,755.64
  6. Step 6: Final answer
    x = 4,467.21

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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.