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Finding the Fourth Proportional to 3,856.41, 5,322.00 and 2,263.17

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Solution

The fourth proportional to 3,856.41, 5,322.00 and 2,263.17 is: 3,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.41 : 5,322.00 = 2,263.17 : x
  2. Step 2: Convert to fraction form
    3,856.41/5,322.00 = 2,263.17/x
  3. Step 3: Cross multiply
    3,856.41x = 5,322.00 × 2,263.17
  4. Step 4: Simplify right side
    3,856.41x = 12,044,574.28
  5. Step 5: Solve for x
    x = 12,044,574.28/3,856.41
  6. Step 6: Final answer
    x = 3,123.26

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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.