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Finding the Fourth Proportional to 5,694.83, 8,543.41 and 2,407.94

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Solution

The fourth proportional to 5,694.83, 8,543.41 and 2,407.94 is: 3,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.83 : 8,543.41 = 2,407.94 : x
  2. Step 2: Convert to fraction form
    5,694.83/8,543.41 = 2,407.94/x
  3. Step 3: Cross multiply
    5,694.83x = 8,543.41 × 2,407.94
  4. Step 4: Simplify right side
    5,694.83x = 20,571,969.94
  5. Step 5: Solve for x
    x = 20,571,969.94/5,694.83
  6. Step 6: Final answer
    x = 3,612.40

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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.