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Finding the Fourth Proportional to 5,244.40, 7,856.21 and 3,396.80

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Solution

The fourth proportional to 5,244.40, 7,856.21 and 3,396.80 is: 5,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.40 : 7,856.21 = 3,396.80 : x
  2. Step 2: Convert to fraction form
    5,244.40/7,856.21 = 3,396.80/x
  3. Step 3: Cross multiply
    5,244.40x = 7,856.21 × 3,396.80
  4. Step 4: Simplify right side
    5,244.40x = 26,685,983.15
  5. Step 5: Solve for x
    x = 26,685,983.15/5,244.40
  6. Step 6: Final answer
    x = 5,088.48

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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.