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Finding the Fourth Proportional to 5,792.64, 8,681.32 and 3,161.28

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Solution

The fourth proportional to 5,792.64, 8,681.32 and 3,161.28 is: 4,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.64 : 8,681.32 = 3,161.28 : x
  2. Step 2: Convert to fraction form
    5,792.64/8,681.32 = 3,161.28/x
  3. Step 3: Cross multiply
    5,792.64x = 8,681.32 × 3,161.28
  4. Step 4: Simplify right side
    5,792.64x = 27,444,083.29
  5. Step 5: Solve for x
    x = 27,444,083.29/5,792.64
  6. Step 6: Final answer
    x = 4,737.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.