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Finding the Fourth Proportional to 6,577.50, 9,077.22 and 3,783

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Solution

The fourth proportional to 6,577.50, 9,077.22 and 3,783 is: 5,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.50 : 9,077.22 = 3,783 : x
  2. Step 2: Convert to fraction form
    6,577.50/9,077.22 = 3,783/x
  3. Step 3: Cross multiply
    6,577.50x = 9,077.22 × 3,783
  4. Step 4: Simplify right side
    6,577.50x = 34,339,123.26
  5. Step 5: Solve for x
    x = 34,339,123.26/6,577.50
  6. Step 6: Final answer
    x = 5,220.70

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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.