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Finding the Fourth Proportional to 5,694.17, 8,542.17 and 2,407.75

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Solution

The fourth proportional to 5,694.17, 8,542.17 and 2,407.75 is: 3,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.17 : 8,542.17 = 2,407.75 : x
  2. Step 2: Convert to fraction form
    5,694.17/8,542.17 = 2,407.75/x
  3. Step 3: Cross multiply
    5,694.17x = 8,542.17 × 2,407.75
  4. Step 4: Simplify right side
    5,694.17x = 20,567,409.82
  5. Step 5: Solve for x
    x = 20,567,409.82/5,694.17
  6. Step 6: Final answer
    x = 3,612.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.