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Finding the Fourth Proportional to 3,107.93, 4,283.91 and 2,434.57

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Solution

The fourth proportional to 3,107.93, 4,283.91 and 2,434.57 is: 3,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.93 : 4,283.91 = 2,434.57 : x
  2. Step 2: Convert to fraction form
    3,107.93/4,283.91 = 2,434.57/x
  3. Step 3: Cross multiply
    3,107.93x = 4,283.91 × 2,434.57
  4. Step 4: Simplify right side
    3,107.93x = 10,429,468.06
  5. Step 5: Solve for x
    x = 10,429,468.06/3,107.93
  6. Step 6: Final answer
    x = 3,355.77

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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.