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Finding the Fourth Proportional to 4,238.39, 6,358.19 and 1,605.18

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Solution

The fourth proportional to 4,238.39, 6,358.19 and 1,605.18 is: 2,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.39 : 6,358.19 = 1,605.18 : x
  2. Step 2: Convert to fraction form
    4,238.39/6,358.19 = 1,605.18/x
  3. Step 3: Cross multiply
    4,238.39x = 6,358.19 × 1,605.18
  4. Step 4: Simplify right side
    4,238.39x = 10,206,031.40
  5. Step 5: Solve for x
    x = 10,206,031.40/4,238.39
  6. Step 6: Final answer
    x = 2,408.00

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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.