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Finding the Fourth Proportional to 3,214.13, 4,435.68 and 1,888.22

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Solution

The fourth proportional to 3,214.13, 4,435.68 and 1,888.22 is: 2,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.13 : 4,435.68 = 1,888.22 : x
  2. Step 2: Convert to fraction form
    3,214.13/4,435.68 = 1,888.22/x
  3. Step 3: Cross multiply
    3,214.13x = 4,435.68 × 1,888.22
  4. Step 4: Simplify right side
    3,214.13x = 8,375,539.69
  5. Step 5: Solve for x
    x = 8,375,539.69/3,214.13
  6. Step 6: Final answer
    x = 2,605.85

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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.