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Finding the Fourth Proportional to 5,629.70, 7,769.65 and 4,683.83

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Solution

The fourth proportional to 5,629.70, 7,769.65 and 4,683.83 is: 6,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.70 : 7,769.65 = 4,683.83 : x
  2. Step 2: Convert to fraction form
    5,629.70/7,769.65 = 4,683.83/x
  3. Step 3: Cross multiply
    5,629.70x = 7,769.65 × 4,683.83
  4. Step 4: Simplify right side
    5,629.70x = 36,391,669.20
  5. Step 5: Solve for x
    x = 36,391,669.20/5,629.70
  6. Step 6: Final answer
    x = 6,464.23

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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.