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Finding the Fourth Proportional to 7,058.25, 10,589.18 and 2,441.25

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Solution

The fourth proportional to 7,058.25, 10,589.18 and 2,441.25 is: 3,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.25 : 10,589.18 = 2,441.25 : x
  2. Step 2: Convert to fraction form
    7,058.25/10,589.18 = 2,441.25/x
  3. Step 3: Cross multiply
    7,058.25x = 10,589.18 × 2,441.25
  4. Step 4: Simplify right side
    7,058.25x = 25,850,823.47
  5. Step 5: Solve for x
    x = 25,850,823.47/7,058.25
  6. Step 6: Final answer
    x = 3,662.50

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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.