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Finding the Fourth Proportional to 5,961.17, 8,941.06 and 1,578.97

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Solution

The fourth proportional to 5,961.17, 8,941.06 and 1,578.97 is: 2,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.17 : 8,941.06 = 1,578.97 : x
  2. Step 2: Convert to fraction form
    5,961.17/8,941.06 = 1,578.97/x
  3. Step 3: Cross multiply
    5,961.17x = 8,941.06 × 1,578.97
  4. Step 4: Simplify right side
    5,961.17x = 14,117,665.51
  5. Step 5: Solve for x
    x = 14,117,665.51/5,961.17
  6. Step 6: Final answer
    x = 2,368.27

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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.