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Finding the Fourth Proportional to 5,812.44, 8,012.70 and 4,412.76

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Solution

The fourth proportional to 5,812.44, 8,012.70 and 4,412.76 is: 6,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.44 : 8,012.70 = 4,412.76 : x
  2. Step 2: Convert to fraction form
    5,812.44/8,012.70 = 4,412.76/x
  3. Step 3: Cross multiply
    5,812.44x = 8,012.70 × 4,412.76
  4. Step 4: Simplify right side
    5,812.44x = 35,358,122.05
  5. Step 5: Solve for x
    x = 35,358,122.05/5,812.44
  6. Step 6: Final answer
    x = 6,083.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.