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Finding the Fourth Proportional to 3,205.60, 4,421.20 and 2,709.60

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Solution

The fourth proportional to 3,205.60, 4,421.20 and 2,709.60 is: 3,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.60 : 4,421.20 = 2,709.60 : x
  2. Step 2: Convert to fraction form
    3,205.60/4,421.20 = 2,709.60/x
  3. Step 3: Cross multiply
    3,205.60x = 4,421.20 × 2,709.60
  4. Step 4: Simplify right side
    3,205.60x = 11,979,683.52
  5. Step 5: Solve for x
    x = 11,979,683.52/3,205.60
  6. Step 6: Final answer
    x = 3,737.11

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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.