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Finding the Fourth Proportional to 3,510.34, 5,267.13 and 1,563.82

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Solution

The fourth proportional to 3,510.34, 5,267.13 and 1,563.82 is: 2,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.34 : 5,267.13 = 1,563.82 : x
  2. Step 2: Convert to fraction form
    3,510.34/5,267.13 = 1,563.82/x
  3. Step 3: Cross multiply
    3,510.34x = 5,267.13 × 1,563.82
  4. Step 4: Simplify right side
    3,510.34x = 8,236,843.24
  5. Step 5: Solve for x
    x = 8,236,843.24/3,510.34
  6. Step 6: Final answer
    x = 2,346.45

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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.