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Finding the Fourth Proportional to 4,887.54, 6,742.32 and 3,092.00

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Solution

The fourth proportional to 4,887.54, 6,742.32 and 3,092.00 is: 4,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.54 : 6,742.32 = 3,092.00 : x
  2. Step 2: Convert to fraction form
    4,887.54/6,742.32 = 3,092.00/x
  3. Step 3: Cross multiply
    4,887.54x = 6,742.32 × 3,092.00
  4. Step 4: Simplify right side
    4,887.54x = 20,847,208.13
  5. Step 5: Solve for x
    x = 20,847,208.13/4,887.54
  6. Step 6: Final answer
    x = 4,265.38

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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.