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Finding the Fourth Proportional to 5,462.88, 8,194.72 and 1,567.58

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Solution

The fourth proportional to 5,462.88, 8,194.72 and 1,567.58 is: 2,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.88 : 8,194.72 = 1,567.58 : x
  2. Step 2: Convert to fraction form
    5,462.88/8,194.72 = 1,567.58/x
  3. Step 3: Cross multiply
    5,462.88x = 8,194.72 × 1,567.58
  4. Step 4: Simplify right side
    5,462.88x = 12,845,879.18
  5. Step 5: Solve for x
    x = 12,845,879.18/5,462.88
  6. Step 6: Final answer
    x = 2,351.48

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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.