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Finding the Fourth Proportional to 7,058, 10,591.86 and 2,441

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Solution

The fourth proportional to 7,058, 10,591.86 and 2,441 is: 3,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 10,591.86 = 2,441 : x
  2. Step 2: Convert to fraction form
    7,058/10,591.86 = 2,441/x
  3. Step 3: Cross multiply
    7,058x = 10,591.86 × 2,441
  4. Step 4: Simplify right side
    7,058x = 25,854,730.26
  5. Step 5: Solve for x
    x = 25,854,730.26/7,058
  6. Step 6: Final answer
    x = 3,663.18

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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.