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Finding the Fourth Proportional to 6,058.90, 8,367.65 and 5,398.48

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Solution

The fourth proportional to 6,058.90, 8,367.65 and 5,398.48 is: 7,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.90 : 8,367.65 = 5,398.48 : x
  2. Step 2: Convert to fraction form
    6,058.90/8,367.65 = 5,398.48/x
  3. Step 3: Cross multiply
    6,058.90x = 8,367.65 × 5,398.48
  4. Step 4: Simplify right side
    6,058.90x = 45,172,608.38
  5. Step 5: Solve for x
    x = 45,172,608.38/6,058.90
  6. Step 6: Final answer
    x = 7,455.58

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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.