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Finding the Fourth Proportional to 5,362.38, 7,403.52 and 3,683.22

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Solution

The fourth proportional to 5,362.38, 7,403.52 and 3,683.22 is: 5,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.38 : 7,403.52 = 3,683.22 : x
  2. Step 2: Convert to fraction form
    5,362.38/7,403.52 = 3,683.22/x
  3. Step 3: Cross multiply
    5,362.38x = 7,403.52 × 3,683.22
  4. Step 4: Simplify right side
    5,362.38x = 27,268,792.93
  5. Step 5: Solve for x
    x = 27,268,792.93/5,362.38
  6. Step 6: Final answer
    x = 5,085.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.