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Finding the Fourth Proportional to 4,805.50, 7,196.64 and 2,334.22

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Solution

The fourth proportional to 4,805.50, 7,196.64 and 2,334.22 is: 3,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.50 : 7,196.64 = 2,334.22 : x
  2. Step 2: Convert to fraction form
    4,805.50/7,196.64 = 2,334.22/x
  3. Step 3: Cross multiply
    4,805.50x = 7,196.64 × 2,334.22
  4. Step 4: Simplify right side
    4,805.50x = 16,798,541.02
  5. Step 5: Solve for x
    x = 16,798,541.02/4,805.50
  6. Step 6: Final answer
    x = 3,495.69

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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.