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Finding the Fourth Proportional to 4,207.57, 5,806.44 and 2,344.57

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Solution

The fourth proportional to 4,207.57, 5,806.44 and 2,344.57 is: 3,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.57 : 5,806.44 = 2,344.57 : x
  2. Step 2: Convert to fraction form
    4,207.57/5,806.44 = 2,344.57/x
  3. Step 3: Cross multiply
    4,207.57x = 5,806.44 × 2,344.57
  4. Step 4: Simplify right side
    4,207.57x = 13,613,605.03
  5. Step 5: Solve for x
    x = 13,613,605.03/4,207.57
  6. Step 6: Final answer
    x = 3,235.50

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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.