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Finding the Fourth Proportional to 4,276.41, 6,409.71 and 2,299.71

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Solution

The fourth proportional to 4,276.41, 6,409.71 and 2,299.71 is: 3,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.41 : 6,409.71 = 2,299.71 : x
  2. Step 2: Convert to fraction form
    4,276.41/6,409.71 = 2,299.71/x
  3. Step 3: Cross multiply
    4,276.41x = 6,409.71 × 2,299.71
  4. Step 4: Simplify right side
    4,276.41x = 14,740,474.18
  5. Step 5: Solve for x
    x = 14,740,474.18/4,276.41
  6. Step 6: Final answer
    x = 3,446.93

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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.