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Finding the Fourth Proportional to 3,406.80, 4,698.44 and 2,659.60

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Solution

The fourth proportional to 3,406.80, 4,698.44 and 2,659.60 is: 3,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.80 : 4,698.44 = 2,659.60 : x
  2. Step 2: Convert to fraction form
    3,406.80/4,698.44 = 2,659.60/x
  3. Step 3: Cross multiply
    3,406.80x = 4,698.44 × 2,659.60
  4. Step 4: Simplify right side
    3,406.80x = 12,495,971.02
  5. Step 5: Solve for x
    x = 12,495,971.02/3,406.80
  6. Step 6: Final answer
    x = 3,667.95

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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.