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Finding the Fourth Proportional to 3,486.41, 5,231.40 and 2,317.22

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Solution

The fourth proportional to 3,486.41, 5,231.40 and 2,317.22 is: 3,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.41 : 5,231.40 = 2,317.22 : x
  2. Step 2: Convert to fraction form
    3,486.41/5,231.40 = 2,317.22/x
  3. Step 3: Cross multiply
    3,486.41x = 5,231.40 × 2,317.22
  4. Step 4: Simplify right side
    3,486.41x = 12,122,304.71
  5. Step 5: Solve for x
    x = 12,122,304.71/3,486.41
  6. Step 6: Final answer
    x = 3,477.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.