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Finding the Fourth Proportional to 3,238.11, 4,856.76 and 898.29

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Solution

The fourth proportional to 3,238.11, 4,856.76 and 898.29 is: 1,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.11 : 4,856.76 = 898.29 : x
  2. Step 2: Convert to fraction form
    3,238.11/4,856.76 = 898.29/x
  3. Step 3: Cross multiply
    3,238.11x = 4,856.76 × 898.29
  4. Step 4: Simplify right side
    3,238.11x = 4,362,778.94
  5. Step 5: Solve for x
    x = 4,362,778.94/3,238.11
  6. Step 6: Final answer
    x = 1,347.32

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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.