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Finding the Fourth Proportional to 5,576.30, 7,695.30 and 3,058.43

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Solution

The fourth proportional to 5,576.30, 7,695.30 and 3,058.43 is: 4,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.30 : 7,695.30 = 3,058.43 : x
  2. Step 2: Convert to fraction form
    5,576.30/7,695.30 = 3,058.43/x
  3. Step 3: Cross multiply
    5,576.30x = 7,695.30 × 3,058.43
  4. Step 4: Simplify right side
    5,576.30x = 23,535,536.38
  5. Step 5: Solve for x
    x = 23,535,536.38/5,576.30
  6. Step 6: Final answer
    x = 4,220.64

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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.