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Finding the Fourth Proportional to 3,238.45, 4,856.95 and 1,264.13

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Solution

The fourth proportional to 3,238.45, 4,856.95 and 1,264.13 is: 1,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.45 : 4,856.95 = 1,264.13 : x
  2. Step 2: Convert to fraction form
    3,238.45/4,856.95 = 1,264.13/x
  3. Step 3: Cross multiply
    3,238.45x = 4,856.95 × 1,264.13
  4. Step 4: Simplify right side
    3,238.45x = 6,139,825.19
  5. Step 5: Solve for x
    x = 6,139,825.19/3,238.45
  6. Step 6: Final answer
    x = 1,895.92

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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.