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Finding the Fourth Proportional to 4,155.86, 5,742.69 and 3,953.38

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Solution

The fourth proportional to 4,155.86, 5,742.69 and 3,953.38 is: 5,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.86 : 5,742.69 = 3,953.38 : x
  2. Step 2: Convert to fraction form
    4,155.86/5,742.69 = 3,953.38/x
  3. Step 3: Cross multiply
    4,155.86x = 5,742.69 × 3,953.38
  4. Step 4: Simplify right side
    4,155.86x = 22,703,035.79
  5. Step 5: Solve for x
    x = 22,703,035.79/4,155.86
  6. Step 6: Final answer
    x = 5,462.90

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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.