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Finding the Fourth Proportional to 5,817.92, 8,032.38 and 5,220.32

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Solution

The fourth proportional to 5,817.92, 8,032.38 and 5,220.32 is: 7,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.92 : 8,032.38 = 5,220.32 : x
  2. Step 2: Convert to fraction form
    5,817.92/8,032.38 = 5,220.32/x
  3. Step 3: Cross multiply
    5,817.92x = 8,032.38 × 5,220.32
  4. Step 4: Simplify right side
    5,817.92x = 41,931,593.96
  5. Step 5: Solve for x
    x = 41,931,593.96/5,817.92
  6. Step 6: Final answer
    x = 7,207.32

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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.