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Finding the Fourth Proportional to 5,108.95, 7,663.70 and 1,599.44

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Solution

The fourth proportional to 5,108.95, 7,663.70 and 1,599.44 is: 2,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.95 : 7,663.70 = 1,599.44 : x
  2. Step 2: Convert to fraction form
    5,108.95/7,663.70 = 1,599.44/x
  3. Step 3: Cross multiply
    5,108.95x = 7,663.70 × 1,599.44
  4. Step 4: Simplify right side
    5,108.95x = 12,257,628.33
  5. Step 5: Solve for x
    x = 12,257,628.33/5,108.95
  6. Step 6: Final answer
    x = 2,399.25

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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.