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Finding the Fourth Proportional to 3,885.86, 5,362.38 and 2,117.50

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Solution

The fourth proportional to 3,885.86, 5,362.38 and 2,117.50 is: 2,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.86 : 5,362.38 = 2,117.50 : x
  2. Step 2: Convert to fraction form
    3,885.86/5,362.38 = 2,117.50/x
  3. Step 3: Cross multiply
    3,885.86x = 5,362.38 × 2,117.50
  4. Step 4: Simplify right side
    3,885.86x = 11,354,839.65
  5. Step 5: Solve for x
    x = 11,354,839.65/3,885.86
  6. Step 6: Final answer
    x = 2,922.09

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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.