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Finding the Fourth Proportional to 6,058.02, 8,359.91 and 3,405.38

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Solution

The fourth proportional to 6,058.02, 8,359.91 and 3,405.38 is: 4,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.02 : 8,359.91 = 3,405.38 : x
  2. Step 2: Convert to fraction form
    6,058.02/8,359.91 = 3,405.38/x
  3. Step 3: Cross multiply
    6,058.02x = 8,359.91 × 3,405.38
  4. Step 4: Simplify right side
    6,058.02x = 28,468,624.26
  5. Step 5: Solve for x
    x = 28,468,624.26/6,058.02
  6. Step 6: Final answer
    x = 4,699.33

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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.