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Finding the Fourth Proportional to 5,462.48, 8,192.64 and 1,567.28

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Solution

The fourth proportional to 5,462.48, 8,192.64 and 1,567.28 is: 2,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.48 : 8,192.64 = 1,567.28 : x
  2. Step 2: Convert to fraction form
    5,462.48/8,192.64 = 1,567.28/x
  3. Step 3: Cross multiply
    5,462.48x = 8,192.64 × 1,567.28
  4. Step 4: Simplify right side
    5,462.48x = 12,840,160.82
  5. Step 5: Solve for x
    x = 12,840,160.82/5,462.48
  6. Step 6: Final answer
    x = 2,350.61

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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.