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Finding the Fourth Proportional to 3,605.13, 5,394.74 and 2,296.17

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Solution

The fourth proportional to 3,605.13, 5,394.74 and 2,296.17 is: 3,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.13 : 5,394.74 = 2,296.17 : x
  2. Step 2: Convert to fraction form
    3,605.13/5,394.74 = 2,296.17/x
  3. Step 3: Cross multiply
    3,605.13x = 5,394.74 × 2,296.17
  4. Step 4: Simplify right side
    3,605.13x = 12,387,228.66
  5. Step 5: Solve for x
    x = 12,387,228.66/3,605.13
  6. Step 6: Final answer
    x = 3,436.00

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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.