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Finding the Fourth Proportional to 5,340.78, 8,008.52 and 1,829.80

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Solution

The fourth proportional to 5,340.78, 8,008.52 and 1,829.80 is: 2,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.78 : 8,008.52 = 1,829.80 : x
  2. Step 2: Convert to fraction form
    5,340.78/8,008.52 = 1,829.80/x
  3. Step 3: Cross multiply
    5,340.78x = 8,008.52 × 1,829.80
  4. Step 4: Simplify right side
    5,340.78x = 14,653,989.90
  5. Step 5: Solve for x
    x = 14,653,989.90/5,340.78
  6. Step 6: Final answer
    x = 2,743.79

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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.