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Finding the Fourth Proportional to 4,057.07, 6,085.64 and 1,424.46

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Solution

The fourth proportional to 4,057.07, 6,085.64 and 1,424.46 is: 2,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.07 : 6,085.64 = 1,424.46 : x
  2. Step 2: Convert to fraction form
    4,057.07/6,085.64 = 1,424.46/x
  3. Step 3: Cross multiply
    4,057.07x = 6,085.64 × 1,424.46
  4. Step 4: Simplify right side
    4,057.07x = 8,668,754.32
  5. Step 5: Solve for x
    x = 8,668,754.32/4,057.07
  6. Step 6: Final answer
    x = 2,136.71

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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.