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Finding the Fourth Proportional to 4,207.50, 5,806.47 and 2,344.62

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Solution

The fourth proportional to 4,207.50, 5,806.47 and 2,344.62 is: 3,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.50 : 5,806.47 = 2,344.62 : x
  2. Step 2: Convert to fraction form
    4,207.50/5,806.47 = 2,344.62/x
  3. Step 3: Cross multiply
    4,207.50x = 5,806.47 × 2,344.62
  4. Step 4: Simplify right side
    4,207.50x = 13,613,965.69
  5. Step 5: Solve for x
    x = 13,613,965.69/4,207.50
  6. Step 6: Final answer
    x = 3,235.64

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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.