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Finding the Fourth Proportional to 5,368.69, 8,052.36 and 2,593

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Solution

The fourth proportional to 5,368.69, 8,052.36 and 2,593 is: 3,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.69 : 8,052.36 = 2,593 : x
  2. Step 2: Convert to fraction form
    5,368.69/8,052.36 = 2,593/x
  3. Step 3: Cross multiply
    5,368.69x = 8,052.36 × 2,593
  4. Step 4: Simplify right side
    5,368.69x = 20,879,769.48
  5. Step 5: Solve for x
    x = 20,879,769.48/5,368.69
  6. Step 6: Final answer
    x = 3,889.17

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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.