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Finding the Fourth Proportional to 6,058.80, 9,072 and 3,458.16

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Solution

The fourth proportional to 6,058.80, 9,072 and 3,458.16 is: 5,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.80 : 9,072 = 3,458.16 : x
  2. Step 2: Convert to fraction form
    6,058.80/9,072 = 3,458.16/x
  3. Step 3: Cross multiply
    6,058.80x = 9,072 × 3,458.16
  4. Step 4: Simplify right side
    6,058.80x = 31,372,427.52
  5. Step 5: Solve for x
    x = 31,372,427.52/6,058.80
  6. Step 6: Final answer
    x = 5,177.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.