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Finding the Fourth Proportional to 3,433.50, 4,738.23 and 1,861.59

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Solution

The fourth proportional to 3,433.50, 4,738.23 and 1,861.59 is: 2,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.50 : 4,738.23 = 1,861.59 : x
  2. Step 2: Convert to fraction form
    3,433.50/4,738.23 = 1,861.59/x
  3. Step 3: Cross multiply
    3,433.50x = 4,738.23 × 1,861.59
  4. Step 4: Simplify right side
    3,433.50x = 8,820,659.35
  5. Step 5: Solve for x
    x = 8,820,659.35/3,433.50
  6. Step 6: Final answer
    x = 2,569.00

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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.