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Finding the Fourth Proportional to 5,389.91, 8,079.61 and 2,578.01

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Solution

The fourth proportional to 5,389.91, 8,079.61 and 2,578.01 is: 3,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.91 : 8,079.61 = 2,578.01 : x
  2. Step 2: Convert to fraction form
    5,389.91/8,079.61 = 2,578.01/x
  3. Step 3: Cross multiply
    5,389.91x = 8,079.61 × 2,578.01
  4. Step 4: Simplify right side
    5,389.91x = 20,829,274.98
  5. Step 5: Solve for x
    x = 20,829,274.98/5,389.91
  6. Step 6: Final answer
    x = 3,864.50

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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.