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Finding the Fourth Proportional to 5,606.94, 7,737.42 and 3,217.32

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Solution

The fourth proportional to 5,606.94, 7,737.42 and 3,217.32 is: 4,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.94 : 7,737.42 = 3,217.32 : x
  2. Step 2: Convert to fraction form
    5,606.94/7,737.42 = 3,217.32/x
  3. Step 3: Cross multiply
    5,606.94x = 7,737.42 × 3,217.32
  4. Step 4: Simplify right side
    5,606.94x = 24,893,756.11
  5. Step 5: Solve for x
    x = 24,893,756.11/5,606.94
  6. Step 6: Final answer
    x = 4,439.81

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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.