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Finding the Fourth Proportional to 3,702.99, 5,108.61 and 2,210.34

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Solution

The fourth proportional to 3,702.99, 5,108.61 and 2,210.34 is: 3,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.99 : 5,108.61 = 2,210.34 : x
  2. Step 2: Convert to fraction form
    3,702.99/5,108.61 = 2,210.34/x
  3. Step 3: Cross multiply
    3,702.99x = 5,108.61 × 2,210.34
  4. Step 4: Simplify right side
    3,702.99x = 11,291,765.03
  5. Step 5: Solve for x
    x = 11,291,765.03/3,702.99
  6. Step 6: Final answer
    x = 3,049.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.