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Finding the Fourth Proportional to 5,736.62, 7,916.08 and 3,218.22

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Solution

The fourth proportional to 5,736.62, 7,916.08 and 3,218.22 is: 4,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.62 : 7,916.08 = 3,218.22 : x
  2. Step 2: Convert to fraction form
    5,736.62/7,916.08 = 3,218.22/x
  3. Step 3: Cross multiply
    5,736.62x = 7,916.08 × 3,218.22
  4. Step 4: Simplify right side
    5,736.62x = 25,475,686.98
  5. Step 5: Solve for x
    x = 25,475,686.98/5,736.62
  6. Step 6: Final answer
    x = 4,440.89

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1.5x scale

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.