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Finding the Fourth Proportional to 3,813.02, 5,719.13 and 1,039.52

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Solution

The fourth proportional to 3,813.02, 5,719.13 and 1,039.52 is: 1,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.02 : 5,719.13 = 1,039.52 : x
  2. Step 2: Convert to fraction form
    3,813.02/5,719.13 = 1,039.52/x
  3. Step 3: Cross multiply
    3,813.02x = 5,719.13 × 1,039.52
  4. Step 4: Simplify right side
    3,813.02x = 5,945,150.02
  5. Step 5: Solve for x
    x = 5,945,150.02/3,813.02
  6. Step 6: Final answer
    x = 1,559.17

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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.