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Finding the Fourth Proportional to 3,047.42, 4,205.20 and 1,721.26

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Solution

The fourth proportional to 3,047.42, 4,205.20 and 1,721.26 is: 2,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.42 : 4,205.20 = 1,721.26 : x
  2. Step 2: Convert to fraction form
    3,047.42/4,205.20 = 1,721.26/x
  3. Step 3: Cross multiply
    3,047.42x = 4,205.20 × 1,721.26
  4. Step 4: Simplify right side
    3,047.42x = 7,238,242.55
  5. Step 5: Solve for x
    x = 7,238,242.55/3,047.42
  6. Step 6: Final answer
    x = 2,375.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.