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Finding the Fourth Proportional to 3,823.04, 5,732.42 and 1,323.47

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Solution

The fourth proportional to 3,823.04, 5,732.42 and 1,323.47 is: 1,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.04 : 5,732.42 = 1,323.47 : x
  2. Step 2: Convert to fraction form
    3,823.04/5,732.42 = 1,323.47/x
  3. Step 3: Cross multiply
    3,823.04x = 5,732.42 × 1,323.47
  4. Step 4: Simplify right side
    3,823.04x = 7,586,693.61
  5. Step 5: Solve for x
    x = 7,586,693.61/3,823.04
  6. Step 6: Final answer
    x = 1,984.46

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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.