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Finding the Fourth Proportional to 4,138.24, 6,203.01 and 1,364.17

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Solution

The fourth proportional to 4,138.24, 6,203.01 and 1,364.17 is: 2,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.24 : 6,203.01 = 1,364.17 : x
  2. Step 2: Convert to fraction form
    4,138.24/6,203.01 = 1,364.17/x
  3. Step 3: Cross multiply
    4,138.24x = 6,203.01 × 1,364.17
  4. Step 4: Simplify right side
    4,138.24x = 8,461,960.15
  5. Step 5: Solve for x
    x = 8,461,960.15/4,138.24
  6. Step 6: Final answer
    x = 2,044.82

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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.