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Finding the Fourth Proportional to 3,093.77, 4,264.44 and 2,429.57

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Solution

The fourth proportional to 3,093.77, 4,264.44 and 2,429.57 is: 3,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.77 : 4,264.44 = 2,429.57 : x
  2. Step 2: Convert to fraction form
    3,093.77/4,264.44 = 2,429.57/x
  3. Step 3: Cross multiply
    3,093.77x = 4,264.44 × 2,429.57
  4. Step 4: Simplify right side
    3,093.77x = 10,360,755.49
  5. Step 5: Solve for x
    x = 10,360,755.49/3,093.77
  6. Step 6: Final answer
    x = 3,348.91

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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.