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Finding the Fourth Proportional to 4,027.29, 6,041.89 and 1,685.99

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Solution

The fourth proportional to 4,027.29, 6,041.89 and 1,685.99 is: 2,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027.29 : 6,041.89 = 1,685.99 : x
  2. Step 2: Convert to fraction form
    4,027.29/6,041.89 = 1,685.99/x
  3. Step 3: Cross multiply
    4,027.29x = 6,041.89 × 1,685.99
  4. Step 4: Simplify right side
    4,027.29x = 10,186,566.12
  5. Step 5: Solve for x
    x = 10,186,566.12/4,027.29
  6. Step 6: Final answer
    x = 2,529.38

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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.