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Finding the Fourth Proportional to 5,666.25, 8,502.81 and 3,583.38

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Solution

The fourth proportional to 5,666.25, 8,502.81 and 3,583.38 is: 5,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.25 : 8,502.81 = 3,583.38 : x
  2. Step 2: Convert to fraction form
    5,666.25/8,502.81 = 3,583.38/x
  3. Step 3: Cross multiply
    5,666.25x = 8,502.81 × 3,583.38
  4. Step 4: Simplify right side
    5,666.25x = 30,468,799.30
  5. Step 5: Solve for x
    x = 30,468,799.30/5,666.25
  6. Step 6: Final answer
    x = 5,377.24

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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.