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Finding the Fourth Proportional to 3,858.21, 5,322.53 and 2,264.90

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Solution

The fourth proportional to 3,858.21, 5,322.53 and 2,264.90 is: 3,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.21 : 5,322.53 = 2,264.90 : x
  2. Step 2: Convert to fraction form
    3,858.21/5,322.53 = 2,264.90/x
  3. Step 3: Cross multiply
    3,858.21x = 5,322.53 × 2,264.90
  4. Step 4: Simplify right side
    3,858.21x = 12,054,977.25
  5. Step 5: Solve for x
    x = 12,054,977.25/3,858.21
  6. Step 6: Final answer
    x = 3,124.50

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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.