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Finding the Fourth Proportional to 3,435.94, 4,745.46 and 2,314.92

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Solution

The fourth proportional to 3,435.94, 4,745.46 and 2,314.92 is: 3,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.94 : 4,745.46 = 2,314.92 : x
  2. Step 2: Convert to fraction form
    3,435.94/4,745.46 = 2,314.92/x
  3. Step 3: Cross multiply
    3,435.94x = 4,745.46 × 2,314.92
  4. Step 4: Simplify right side
    3,435.94x = 10,985,360.26
  5. Step 5: Solve for x
    x = 10,985,360.26/3,435.94
  6. Step 6: Final answer
    x = 3,197.19

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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.