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Finding the Fourth Proportional to 5,925.92, 8,178.26 and 3,408.86

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Solution

The fourth proportional to 5,925.92, 8,178.26 and 3,408.86 is: 4,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.92 : 8,178.26 = 3,408.86 : x
  2. Step 2: Convert to fraction form
    5,925.92/8,178.26 = 3,408.86/x
  3. Step 3: Cross multiply
    5,925.92x = 8,178.26 × 3,408.86
  4. Step 4: Simplify right side
    5,925.92x = 27,878,543.38
  5. Step 5: Solve for x
    x = 27,878,543.38/5,925.92
  6. Step 6: Final answer
    x = 4,704.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.