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Finding the Fourth Proportional to 4,062, 6,089.64 and 1,722

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Solution

The fourth proportional to 4,062, 6,089.64 and 1,722 is: 2,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062 : 6,089.64 = 1,722 : x
  2. Step 2: Convert to fraction form
    4,062/6,089.64 = 1,722/x
  3. Step 3: Cross multiply
    4,062x = 6,089.64 × 1,722
  4. Step 4: Simplify right side
    4,062x = 10,486,360.08
  5. Step 5: Solve for x
    x = 10,486,360.08/4,062
  6. Step 6: Final answer
    x = 2,581.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.