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Finding the Fourth Proportional to 5,642.52, 8,468.30 and 4,000.68

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Solution

The fourth proportional to 5,642.52, 8,468.30 and 4,000.68 is: 6,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.52 : 8,468.30 = 4,000.68 : x
  2. Step 2: Convert to fraction form
    5,642.52/8,468.30 = 4,000.68/x
  3. Step 3: Cross multiply
    5,642.52x = 8,468.30 × 4,000.68
  4. Step 4: Simplify right side
    5,642.52x = 33,878,958.44
  5. Step 5: Solve for x
    x = 33,878,958.44/5,642.52
  6. Step 6: Final answer
    x = 6,004.22

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