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Finding the Fourth Proportional to 3,887.34, 5,793.49 and 3,881.16

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Solution

The fourth proportional to 3,887.34, 5,793.49 and 3,881.16 is: 5,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.34 : 5,793.49 = 3,881.16 : x
  2. Step 2: Convert to fraction form
    3,887.34/5,793.49 = 3,881.16/x
  3. Step 3: Cross multiply
    3,887.34x = 5,793.49 × 3,881.16
  4. Step 4: Simplify right side
    3,887.34x = 22,485,461.65
  5. Step 5: Solve for x
    x = 22,485,461.65/3,887.34
  6. Step 6: Final answer
    x = 5,784.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.