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Finding the Fourth Proportional to 3,583.80, 5,369.94 and 3,007.80

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Solution

The fourth proportional to 3,583.80, 5,369.94 and 3,007.80 is: 4,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.80 : 5,369.94 = 3,007.80 : x
  2. Step 2: Convert to fraction form
    3,583.80/5,369.94 = 3,007.80/x
  3. Step 3: Cross multiply
    3,583.80x = 5,369.94 × 3,007.80
  4. Step 4: Simplify right side
    3,583.80x = 16,151,705.53
  5. Step 5: Solve for x
    x = 16,151,705.53/3,583.80
  6. Step 6: Final answer
    x = 4,506.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.