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Finding the Fourth Proportional to 6,058, 8,356.80 and 4,065.13

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Solution

The fourth proportional to 6,058, 8,356.80 and 4,065.13 is: 5,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058 : 8,356.80 = 4,065.13 : x
  2. Step 2: Convert to fraction form
    6,058/8,356.80 = 4,065.13/x
  3. Step 3: Cross multiply
    6,058x = 8,356.80 × 4,065.13
  4. Step 4: Simplify right side
    6,058x = 33,971,478.38
  5. Step 5: Solve for x
    x = 33,971,478.38/6,058
  6. Step 6: Final answer
    x = 5,607.71

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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.