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Finding the Fourth Proportional to 3,454.08, 4,766.72 and 2,056.96

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Solution

The fourth proportional to 3,454.08, 4,766.72 and 2,056.96 is: 2,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.08 : 4,766.72 = 2,056.96 : x
  2. Step 2: Convert to fraction form
    3,454.08/4,766.72 = 2,056.96/x
  3. Step 3: Cross multiply
    3,454.08x = 4,766.72 × 2,056.96
  4. Step 4: Simplify right side
    3,454.08x = 9,804,952.37
  5. Step 5: Solve for x
    x = 9,804,952.37/3,454.08
  6. Step 6: Final answer
    x = 2,838.66

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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.