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Finding the Fourth Proportional to 5,694, 8,541 and 1,798.52

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Solution

The fourth proportional to 5,694, 8,541 and 1,798.52 is: 2,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694 : 8,541 = 1,798.52 : x
  2. Step 2: Convert to fraction form
    5,694/8,541 = 1,798.52/x
  3. Step 3: Cross multiply
    5,694x = 8,541 × 1,798.52
  4. Step 4: Simplify right side
    5,694x = 15,361,159.32
  5. Step 5: Solve for x
    x = 15,361,159.32/5,694
  6. Step 6: Final answer
    x = 2,697.78

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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.