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Finding the Fourth Proportional to 3,433.60, 4,738.28 and 1,861.68

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Solution

The fourth proportional to 3,433.60, 4,738.28 and 1,861.68 is: 2,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.60 : 4,738.28 = 1,861.68 : x
  2. Step 2: Convert to fraction form
    3,433.60/4,738.28 = 1,861.68/x
  3. Step 3: Cross multiply
    3,433.60x = 4,738.28 × 1,861.68
  4. Step 4: Simplify right side
    3,433.60x = 8,821,161.11
  5. Step 5: Solve for x
    x = 8,821,161.11/3,433.60
  6. Step 6: Final answer
    x = 2,569.07

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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.