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Finding the Fourth Proportional to 5,109.71, 7,663.60 and 1,599.19

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Solution

The fourth proportional to 5,109.71, 7,663.60 and 1,599.19 is: 2,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.71 : 7,663.60 = 1,599.19 : x
  2. Step 2: Convert to fraction form
    5,109.71/7,663.60 = 1,599.19/x
  3. Step 3: Cross multiply
    5,109.71x = 7,663.60 × 1,599.19
  4. Step 4: Simplify right side
    5,109.71x = 12,255,529.33
  5. Step 5: Solve for x
    x = 12,255,529.33/5,109.71
  6. Step 6: Final answer
    x = 2,398.48

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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.