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Finding the Fourth Proportional to 3,822.69, 5,732.14 and 1,357.14

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Solution

The fourth proportional to 3,822.69, 5,732.14 and 1,357.14 is: 2,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.69 : 5,732.14 = 1,357.14 : x
  2. Step 2: Convert to fraction form
    3,822.69/5,732.14 = 1,357.14/x
  3. Step 3: Cross multiply
    3,822.69x = 5,732.14 × 1,357.14
  4. Step 4: Simplify right side
    3,822.69x = 7,779,316.48
  5. Step 5: Solve for x
    x = 7,779,316.48/3,822.69
  6. Step 6: Final answer
    x = 2,035.04

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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.