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Finding the Fourth Proportional to 4,400, 6,072 and 2,537.12

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Solution

The fourth proportional to 4,400, 6,072 and 2,537.12 is: 3,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400 : 6,072 = 2,537.12 : x
  2. Step 2: Convert to fraction form
    4,400/6,072 = 2,537.12/x
  3. Step 3: Cross multiply
    4,400x = 6,072 × 2,537.12
  4. Step 4: Simplify right side
    4,400x = 15,405,392.64
  5. Step 5: Solve for x
    x = 15,405,392.64/4,400
  6. Step 6: Final answer
    x = 3,501.23

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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.