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Finding the Fourth Proportional to 3,707.70, 5,117.21 and 2,216.78

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Solution

The fourth proportional to 3,707.70, 5,117.21 and 2,216.78 is: 3,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.70 : 5,117.21 = 2,216.78 : x
  2. Step 2: Convert to fraction form
    3,707.70/5,117.21 = 2,216.78/x
  3. Step 3: Cross multiply
    3,707.70x = 5,117.21 × 2,216.78
  4. Step 4: Simplify right side
    3,707.70x = 11,343,728.78
  5. Step 5: Solve for x
    x = 11,343,728.78/3,707.70
  6. Step 6: Final answer
    x = 3,059.51

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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.