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Finding the Fourth Proportional to 4,184.70, 5,774.70 and 2,296.24

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Solution

The fourth proportional to 4,184.70, 5,774.70 and 2,296.24 is: 3,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.70 : 5,774.70 = 2,296.24 : x
  2. Step 2: Convert to fraction form
    4,184.70/5,774.70 = 2,296.24/x
  3. Step 3: Cross multiply
    4,184.70x = 5,774.70 × 2,296.24
  4. Step 4: Simplify right side
    4,184.70x = 13,260,092.82
  5. Step 5: Solve for x
    x = 13,260,092.82/4,184.70
  6. Step 6: Final answer
    x = 3,168.70

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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.