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Finding the Fourth Proportional to 4,058.26, 6,087.38 and 980.26

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Solution

The fourth proportional to 4,058.26, 6,087.38 and 980.26 is: 1,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.26 : 6,087.38 = 980.26 : x
  2. Step 2: Convert to fraction form
    4,058.26/6,087.38 = 980.26/x
  3. Step 3: Cross multiply
    4,058.26x = 6,087.38 × 980.26
  4. Step 4: Simplify right side
    4,058.26x = 5,967,215.12
  5. Step 5: Solve for x
    x = 5,967,215.12/4,058.26
  6. Step 6: Final answer
    x = 1,470.39

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