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Finding the Fourth Proportional to 3,858.04, 5,324.18 and 2,264.80

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Solution

The fourth proportional to 3,858.04, 5,324.18 and 2,264.80 is: 3,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.04 : 5,324.18 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    3,858.04/5,324.18 = 2,264.80/x
  3. Step 3: Cross multiply
    3,858.04x = 5,324.18 × 2,264.80
  4. Step 4: Simplify right side
    3,858.04x = 12,058,202.86
  5. Step 5: Solve for x
    x = 12,058,202.86/3,858.04
  6. Step 6: Final answer
    x = 3,125.47

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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.