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Finding the Fourth Proportional to 5,606.46, 7,737.81 and 4,277.64

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Solution

The fourth proportional to 5,606.46, 7,737.81 and 4,277.64 is: 5,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.46 : 7,737.81 = 4,277.64 : x
  2. Step 2: Convert to fraction form
    5,606.46/7,737.81 = 4,277.64/x
  3. Step 3: Cross multiply
    5,606.46x = 7,737.81 × 4,277.64
  4. Step 4: Simplify right side
    5,606.46x = 33,099,565.57
  5. Step 5: Solve for x
    x = 33,099,565.57/5,606.46
  6. Step 6: Final answer
    x = 5,903.83

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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.