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Finding the Fourth Proportional to 3,647.24, 5,466.24 and 2,330.49

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Solution

The fourth proportional to 3,647.24, 5,466.24 and 2,330.49 is: 3,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.24 : 5,466.24 = 2,330.49 : x
  2. Step 2: Convert to fraction form
    3,647.24/5,466.24 = 2,330.49/x
  3. Step 3: Cross multiply
    3,647.24x = 5,466.24 × 2,330.49
  4. Step 4: Simplify right side
    3,647.24x = 12,739,017.66
  5. Step 5: Solve for x
    x = 12,739,017.66/3,647.24
  6. Step 6: Final answer
    x = 3,492.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.