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Finding the Fourth Proportional to 5,086.13, 7,628.94 and 1,575.99

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Solution

The fourth proportional to 5,086.13, 7,628.94 and 1,575.99 is: 2,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.13 : 7,628.94 = 1,575.99 : x
  2. Step 2: Convert to fraction form
    5,086.13/7,628.94 = 1,575.99/x
  3. Step 3: Cross multiply
    5,086.13x = 7,628.94 × 1,575.99
  4. Step 4: Simplify right side
    5,086.13x = 12,023,133.15
  5. Step 5: Solve for x
    x = 12,023,133.15/5,086.13
  6. Step 6: Final answer
    x = 2,363.91

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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.