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Finding the Fourth Proportional to 3,812.34, 5,718.30 and 1,039.44

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Solution

The fourth proportional to 3,812.34, 5,718.30 and 1,039.44 is: 1,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.34 : 5,718.30 = 1,039.44 : x
  2. Step 2: Convert to fraction form
    3,812.34/5,718.30 = 1,039.44/x
  3. Step 3: Cross multiply
    3,812.34x = 5,718.30 × 1,039.44
  4. Step 4: Simplify right side
    3,812.34x = 5,943,829.75
  5. Step 5: Solve for x
    x = 5,943,829.75/3,812.34
  6. Step 6: Final answer
    x = 1,559.10

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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.