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Finding the Fourth Proportional to 5,953.24, 8,929.93 and 4,103.86

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Solution

The fourth proportional to 5,953.24, 8,929.93 and 4,103.86 is: 6,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.24 : 8,929.93 = 4,103.86 : x
  2. Step 2: Convert to fraction form
    5,953.24/8,929.93 = 4,103.86/x
  3. Step 3: Cross multiply
    5,953.24x = 8,929.93 × 4,103.86
  4. Step 4: Simplify right side
    5,953.24x = 36,647,117.36
  5. Step 5: Solve for x
    x = 36,647,117.36/5,953.24
  6. Step 6: Final answer
    x = 6,155.83

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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.