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Finding the Fourth Proportional to 3,710.74, 5,121.26 and 2,218.64

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Solution

The fourth proportional to 3,710.74, 5,121.26 and 2,218.64 is: 3,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.74 : 5,121.26 = 2,218.64 : x
  2. Step 2: Convert to fraction form
    3,710.74/5,121.26 = 2,218.64/x
  3. Step 3: Cross multiply
    3,710.74x = 5,121.26 × 2,218.64
  4. Step 4: Simplify right side
    3,710.74x = 11,362,232.29
  5. Step 5: Solve for x
    x = 11,362,232.29/3,710.74
  6. Step 6: Final answer
    x = 3,061.99

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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.