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Finding the Fourth Proportional to 3,812.67, 5,718.78 and 1,347.51

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Solution

The fourth proportional to 3,812.67, 5,718.78 and 1,347.51 is: 2,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.67 : 5,718.78 = 1,347.51 : x
  2. Step 2: Convert to fraction form
    3,812.67/5,718.78 = 1,347.51/x
  3. Step 3: Cross multiply
    3,812.67x = 5,718.78 × 1,347.51
  4. Step 4: Simplify right side
    3,812.67x = 7,706,113.24
  5. Step 5: Solve for x
    x = 7,706,113.24/3,812.67
  6. Step 6: Final answer
    x = 2,021.19

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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.