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Finding the Fourth Proportional to 5,592.81, 8,389.02 and 1,432.86

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Solution

The fourth proportional to 5,592.81, 8,389.02 and 1,432.86 is: 2,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592.81 : 8,389.02 = 1,432.86 : x
  2. Step 2: Convert to fraction form
    5,592.81/8,389.02 = 1,432.86/x
  3. Step 3: Cross multiply
    5,592.81x = 8,389.02 × 1,432.86
  4. Step 4: Simplify right side
    5,592.81x = 12,020,257.05
  5. Step 5: Solve for x
    x = 12,020,257.05/5,592.81
  6. Step 6: Final answer
    x = 2,149.23

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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.