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Finding the Fourth Proportional to 3,702.66, 5,108.83 and 2,210.29

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Solution

The fourth proportional to 3,702.66, 5,108.83 and 2,210.29 is: 3,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.66 : 5,108.83 = 2,210.29 : x
  2. Step 2: Convert to fraction form
    3,702.66/5,108.83 = 2,210.29/x
  3. Step 3: Cross multiply
    3,702.66x = 5,108.83 × 2,210.29
  4. Step 4: Simplify right side
    3,702.66x = 11,291,995.86
  5. Step 5: Solve for x
    x = 11,291,995.86/3,702.66
  6. Step 6: Final answer
    x = 3,049.70

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