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Finding the Fourth Proportional to 3,416.93, 4,716.13 and 2,237.31

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Solution

The fourth proportional to 3,416.93, 4,716.13 and 2,237.31 is: 3,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.93 : 4,716.13 = 2,237.31 : x
  2. Step 2: Convert to fraction form
    3,416.93/4,716.13 = 2,237.31/x
  3. Step 3: Cross multiply
    3,416.93x = 4,716.13 × 2,237.31
  4. Step 4: Simplify right side
    3,416.93x = 10,551,444.81
  5. Step 5: Solve for x
    x = 10,551,444.81/3,416.93
  6. Step 6: Final answer
    x = 3,087.99

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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.