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Finding the Fourth Proportional to 5,916.70, 8,165.22 and 3,263.98

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Solution

The fourth proportional to 5,916.70, 8,165.22 and 3,263.98 is: 4,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.70 : 8,165.22 = 3,263.98 : x
  2. Step 2: Convert to fraction form
    5,916.70/8,165.22 = 3,263.98/x
  3. Step 3: Cross multiply
    5,916.70x = 8,165.22 × 3,263.98
  4. Step 4: Simplify right side
    5,916.70x = 26,651,114.78
  5. Step 5: Solve for x
    x = 26,651,114.78/5,916.70
  6. Step 6: Final answer
    x = 4,504.39

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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.