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Finding the Fourth Proportional to 4,172.94, 6,224.22 and 3,549.69

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Solution

The fourth proportional to 4,172.94, 6,224.22 and 3,549.69 is: 5,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.94 : 6,224.22 = 3,549.69 : x
  2. Step 2: Convert to fraction form
    4,172.94/6,224.22 = 3,549.69/x
  3. Step 3: Cross multiply
    4,172.94x = 6,224.22 × 3,549.69
  4. Step 4: Simplify right side
    4,172.94x = 22,094,051.49
  5. Step 5: Solve for x
    x = 22,094,051.49/4,172.94
  6. Step 6: Final answer
    x = 5,294.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.