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Finding the Fourth Proportional to 4,839.22, 7,252.90 and 3,445

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Solution

The fourth proportional to 4,839.22, 7,252.90 and 3,445 is: 5,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.22 : 7,252.90 = 3,445 : x
  2. Step 2: Convert to fraction form
    4,839.22/7,252.90 = 3,445/x
  3. Step 3: Cross multiply
    4,839.22x = 7,252.90 × 3,445
  4. Step 4: Simplify right side
    4,839.22x = 24,986,240.50
  5. Step 5: Solve for x
    x = 24,986,240.50/4,839.22
  6. Step 6: Final answer
    x = 5,163.28

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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.