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Finding the Fourth Proportional to 4,057.53, 6,086.35 and 1,424.93

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Solution

The fourth proportional to 4,057.53, 6,086.35 and 1,424.93 is: 2,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.53 : 6,086.35 = 1,424.93 : x
  2. Step 2: Convert to fraction form
    4,057.53/6,086.35 = 1,424.93/x
  3. Step 3: Cross multiply
    4,057.53x = 6,086.35 × 1,424.93
  4. Step 4: Simplify right side
    4,057.53x = 8,672,615.58
  5. Step 5: Solve for x
    x = 8,672,615.58/4,057.53
  6. Step 6: Final answer
    x = 2,137.41

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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.