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Finding the Fourth Proportional to 3,702.66, 5,110.02 and 2,210.56

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Solution

The fourth proportional to 3,702.66, 5,110.02 and 2,210.56 is: 3,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.66 : 5,110.02 = 2,210.56 : x
  2. Step 2: Convert to fraction form
    3,702.66/5,110.02 = 2,210.56/x
  3. Step 3: Cross multiply
    3,702.66x = 5,110.02 × 2,210.56
  4. Step 4: Simplify right side
    3,702.66x = 11,296,005.81
  5. Step 5: Solve for x
    x = 11,296,005.81/3,702.66
  6. Step 6: Final answer
    x = 3,050.78

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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.