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Finding the Fourth Proportional to 7,221.46, 10,832.57 and 2,291.48

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Solution

The fourth proportional to 7,221.46, 10,832.57 and 2,291.48 is: 3,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.46 : 10,832.57 = 2,291.48 : x
  2. Step 2: Convert to fraction form
    7,221.46/10,832.57 = 2,291.48/x
  3. Step 3: Cross multiply
    7,221.46x = 10,832.57 × 2,291.48
  4. Step 4: Simplify right side
    7,221.46x = 24,822,617.50
  5. Step 5: Solve for x
    x = 24,822,617.50/7,221.46
  6. Step 6: Final answer
    x = 3,437.34

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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.