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Finding the Fourth Proportional to 4,861.77, 6,711.80 and 3,446.61

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Solution

The fourth proportional to 4,861.77, 6,711.80 and 3,446.61 is: 4,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.77 : 6,711.80 = 3,446.61 : x
  2. Step 2: Convert to fraction form
    4,861.77/6,711.80 = 3,446.61/x
  3. Step 3: Cross multiply
    4,861.77x = 6,711.80 × 3,446.61
  4. Step 4: Simplify right side
    4,861.77x = 23,132,939.76
  5. Step 5: Solve for x
    x = 23,132,939.76/4,861.77
  6. Step 6: Final answer
    x = 4,758.13

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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.