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Finding the Fourth Proportional to 3,617.76, 4,992.04 and 2,045.80

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Solution

The fourth proportional to 3,617.76, 4,992.04 and 2,045.80 is: 2,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.76 : 4,992.04 = 2,045.80 : x
  2. Step 2: Convert to fraction form
    3,617.76/4,992.04 = 2,045.80/x
  3. Step 3: Cross multiply
    3,617.76x = 4,992.04 × 2,045.80
  4. Step 4: Simplify right side
    3,617.76x = 10,212,715.43
  5. Step 5: Solve for x
    x = 10,212,715.43/3,617.76
  6. Step 6: Final answer
    x = 2,822.94

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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.