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Finding the Fourth Proportional to 5,108.52, 7,663.38 and 1,822.08

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Solution

The fourth proportional to 5,108.52, 7,663.38 and 1,822.08 is: 2,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.52 : 7,663.38 = 1,822.08 : x
  2. Step 2: Convert to fraction form
    5,108.52/7,663.38 = 1,822.08/x
  3. Step 3: Cross multiply
    5,108.52x = 7,663.38 × 1,822.08
  4. Step 4: Simplify right side
    5,108.52x = 13,963,291.43
  5. Step 5: Solve for x
    x = 13,963,291.43/5,108.52
  6. Step 6: Final answer
    x = 2,733.33

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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.