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Finding the Fourth Proportional to 5,837.35, 8,058.14 and 3,480.31

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Solution

The fourth proportional to 5,837.35, 8,058.14 and 3,480.31 is: 4,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.35 : 8,058.14 = 3,480.31 : x
  2. Step 2: Convert to fraction form
    5,837.35/8,058.14 = 3,480.31/x
  3. Step 3: Cross multiply
    5,837.35x = 8,058.14 × 3,480.31
  4. Step 4: Simplify right side
    5,837.35x = 28,044,825.22
  5. Step 5: Solve for x
    x = 28,044,825.22/5,837.35
  6. Step 6: Final answer
    x = 4,804.38

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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.