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Finding the Fourth Proportional to 5,735.79, 8,602.66 and 1,519.07

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Solution

The fourth proportional to 5,735.79, 8,602.66 and 1,519.07 is: 2,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.79 : 8,602.66 = 1,519.07 : x
  2. Step 2: Convert to fraction form
    5,735.79/8,602.66 = 1,519.07/x
  3. Step 3: Cross multiply
    5,735.79x = 8,602.66 × 1,519.07
  4. Step 4: Simplify right side
    5,735.79x = 13,068,025.33
  5. Step 5: Solve for x
    x = 13,068,025.33/5,735.79
  6. Step 6: Final answer
    x = 2,278.33

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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.