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Finding the Fourth Proportional to 5,683.83, 7,841.16 and 3,324.93

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Solution

The fourth proportional to 5,683.83, 7,841.16 and 3,324.93 is: 4,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.83 : 7,841.16 = 3,324.93 : x
  2. Step 2: Convert to fraction form
    5,683.83/7,841.16 = 3,324.93/x
  3. Step 3: Cross multiply
    5,683.83x = 7,841.16 × 3,324.93
  4. Step 4: Simplify right side
    5,683.83x = 26,071,308.12
  5. Step 5: Solve for x
    x = 26,071,308.12/5,683.83
  6. Step 6: Final answer
    x = 4,586.93

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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.