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Finding the Fourth Proportional to 5,606.50, 7,737.71 and 3,622.83

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Solution

The fourth proportional to 5,606.50, 7,737.71 and 3,622.83 is: 4,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.50 : 7,737.71 = 3,622.83 : x
  2. Step 2: Convert to fraction form
    5,606.50/7,737.71 = 3,622.83/x
  3. Step 3: Cross multiply
    5,606.50x = 7,737.71 × 3,622.83
  4. Step 4: Simplify right side
    5,606.50x = 28,032,407.92
  5. Step 5: Solve for x
    x = 28,032,407.92/5,606.50
  6. Step 6: Final answer
    x = 4,999.98

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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.