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Finding the Fourth Proportional to 3,444, 4,752.72 and 2,203.68

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Solution

The fourth proportional to 3,444, 4,752.72 and 2,203.68 is: 3,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 4,752.72 = 2,203.68 : x
  2. Step 2: Convert to fraction form
    3,444/4,752.72 = 2,203.68/x
  3. Step 3: Cross multiply
    3,444x = 4,752.72 × 2,203.68
  4. Step 4: Simplify right side
    3,444x = 10,473,474.01
  5. Step 5: Solve for x
    x = 10,473,474.01/3,444
  6. Step 6: Final answer
    x = 3,041.08

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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.