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Finding the Fourth Proportional to 3,605.71, 4,973.32 and 2,344.44

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Solution

The fourth proportional to 3,605.71, 4,973.32 and 2,344.44 is: 3,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.71 : 4,973.32 = 2,344.44 : x
  2. Step 2: Convert to fraction form
    3,605.71/4,973.32 = 2,344.44/x
  3. Step 3: Cross multiply
    3,605.71x = 4,973.32 × 2,344.44
  4. Step 4: Simplify right side
    3,605.71x = 11,659,613.75
  5. Step 5: Solve for x
    x = 11,659,613.75/3,605.71
  6. Step 6: Final answer
    x = 3,233.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.