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Finding the Fourth Proportional to 6,563.76, 9,058.20 and 3,731.08

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Solution

The fourth proportional to 6,563.76, 9,058.20 and 3,731.08 is: 5,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.76 : 9,058.20 = 3,731.08 : x
  2. Step 2: Convert to fraction form
    6,563.76/9,058.20 = 3,731.08/x
  3. Step 3: Cross multiply
    6,563.76x = 9,058.20 × 3,731.08
  4. Step 4: Simplify right side
    6,563.76x = 33,796,868.86
  5. Step 5: Solve for x
    x = 33,796,868.86/6,563.76
  6. Step 6: Final answer
    x = 5,149.01

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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.