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Finding the Fourth Proportional to 5,916.67, 8,164.98 and 3,264.06

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Solution

The fourth proportional to 5,916.67, 8,164.98 and 3,264.06 is: 4,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.67 : 8,164.98 = 3,264.06 : x
  2. Step 2: Convert to fraction form
    5,916.67/8,164.98 = 3,264.06/x
  3. Step 3: Cross multiply
    5,916.67x = 8,164.98 × 3,264.06
  4. Step 4: Simplify right side
    5,916.67x = 26,650,984.62
  5. Step 5: Solve for x
    x = 26,650,984.62/5,916.67
  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.