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Finding the Fourth Proportional to 4,247.24, 5,861.24 and 2,384.24

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Solution

The fourth proportional to 4,247.24, 5,861.24 and 2,384.24 is: 3,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.24 : 5,861.24 = 2,384.24 : x
  2. Step 2: Convert to fraction form
    4,247.24/5,861.24 = 2,384.24/x
  3. Step 3: Cross multiply
    4,247.24x = 5,861.24 × 2,384.24
  4. Step 4: Simplify right side
    4,247.24x = 13,974,602.86
  5. Step 5: Solve for x
    x = 13,974,602.86/4,247.24
  6. Step 6: Final answer
    x = 3,290.28

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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.