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Finding the Fourth Proportional to 4,020.68, 6,029.78 and 1,423

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Solution

The fourth proportional to 4,020.68, 6,029.78 and 1,423 is: 2,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.68 : 6,029.78 = 1,423 : x
  2. Step 2: Convert to fraction form
    4,020.68/6,029.78 = 1,423/x
  3. Step 3: Cross multiply
    4,020.68x = 6,029.78 × 1,423
  4. Step 4: Simplify right side
    4,020.68x = 8,580,376.94
  5. Step 5: Solve for x
    x = 8,580,376.94/4,020.68
  6. Step 6: Final answer
    x = 2,134.06

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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.