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Finding the Fourth Proportional to 3,523.63, 4,858.62 and 2,264.89

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Solution

The fourth proportional to 3,523.63, 4,858.62 and 2,264.89 is: 3,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.63 : 4,858.62 = 2,264.89 : x
  2. Step 2: Convert to fraction form
    3,523.63/4,858.62 = 2,264.89/x
  3. Step 3: Cross multiply
    3,523.63x = 4,858.62 × 2,264.89
  4. Step 4: Simplify right side
    3,523.63x = 11,004,239.85
  5. Step 5: Solve for x
    x = 11,004,239.85/3,523.63
  6. Step 6: Final answer
    x = 3,122.98

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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.