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Finding the Fourth Proportional to 5,683.54, 7,845.70 and 3,821.62

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Solution

The fourth proportional to 5,683.54, 7,845.70 and 3,821.62 is: 5,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.54 : 7,845.70 = 3,821.62 : x
  2. Step 2: Convert to fraction form
    5,683.54/7,845.70 = 3,821.62/x
  3. Step 3: Cross multiply
    5,683.54x = 7,845.70 × 3,821.62
  4. Step 4: Simplify right side
    5,683.54x = 29,983,284.03
  5. Step 5: Solve for x
    x = 29,983,284.03/5,683.54
  6. Step 6: Final answer
    x = 5,275.46

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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.