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Finding the Fourth Proportional to 5,005.12, 6,905.85 and 2,880.49

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Solution

The fourth proportional to 5,005.12, 6,905.85 and 2,880.49 is: 3,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.12 : 6,905.85 = 2,880.49 : x
  2. Step 2: Convert to fraction form
    5,005.12/6,905.85 = 2,880.49/x
  3. Step 3: Cross multiply
    5,005.12x = 6,905.85 × 2,880.49
  4. Step 4: Simplify right side
    5,005.12x = 19,892,231.87
  5. Step 5: Solve for x
    x = 19,892,231.87/5,005.12
  6. Step 6: Final answer
    x = 3,974.38

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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.