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Finding the Fourth Proportional to 5,333.26, 7,355.94 and 3,916.50

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Solution

The fourth proportional to 5,333.26, 7,355.94 and 3,916.50 is: 5,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.26 : 7,355.94 = 3,916.50 : x
  2. Step 2: Convert to fraction form
    5,333.26/7,355.94 = 3,916.50/x
  3. Step 3: Cross multiply
    5,333.26x = 7,355.94 × 3,916.50
  4. Step 4: Simplify right side
    5,333.26x = 28,809,539.01
  5. Step 5: Solve for x
    x = 28,809,539.01/5,333.26
  6. Step 6: Final answer
    x = 5,401.86

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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.