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Finding the Fourth Proportional to 3,433.69, 4,738.50 and 1,861.79

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Solution

The fourth proportional to 3,433.69, 4,738.50 and 1,861.79 is: 2,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.69 : 4,738.50 = 1,861.79 : x
  2. Step 2: Convert to fraction form
    3,433.69/4,738.50 = 1,861.79/x
  3. Step 3: Cross multiply
    3,433.69x = 4,738.50 × 1,861.79
  4. Step 4: Simplify right side
    3,433.69x = 8,822,068.22
  5. Step 5: Solve for x
    x = 8,822,068.22/3,433.69
  6. Step 6: Final answer
    x = 2,569.27

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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.