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Finding the Fourth Proportional to 3,524.95, 4,862.22 and 2,267.64

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Solution

The fourth proportional to 3,524.95, 4,862.22 and 2,267.64 is: 3,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.95 : 4,862.22 = 2,267.64 : x
  2. Step 2: Convert to fraction form
    3,524.95/4,862.22 = 2,267.64/x
  3. Step 3: Cross multiply
    3,524.95x = 4,862.22 × 2,267.64
  4. Step 4: Simplify right side
    3,524.95x = 11,025,770.23
  5. Step 5: Solve for x
    x = 11,025,770.23/3,524.95
  6. Step 6: Final answer
    x = 3,127.92

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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.