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Finding the Fourth Proportional to 3,490.63, 4,814.90 and 2,295.75

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Solution

The fourth proportional to 3,490.63, 4,814.90 and 2,295.75 is: 3,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.63 : 4,814.90 = 2,295.75 : x
  2. Step 2: Convert to fraction form
    3,490.63/4,814.90 = 2,295.75/x
  3. Step 3: Cross multiply
    3,490.63x = 4,814.90 × 2,295.75
  4. Step 4: Simplify right side
    3,490.63x = 11,053,806.68
  5. Step 5: Solve for x
    x = 11,053,806.68/3,490.63
  6. Step 6: Final answer
    x = 3,166.71

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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.