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Finding the Fourth Proportional to 4,157.72, 6,237.57 and 1,384.41

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Solution

The fourth proportional to 4,157.72, 6,237.57 and 1,384.41 is: 2,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.72 : 6,237.57 = 1,384.41 : x
  2. Step 2: Convert to fraction form
    4,157.72/6,237.57 = 1,384.41/x
  3. Step 3: Cross multiply
    4,157.72x = 6,237.57 × 1,384.41
  4. Step 4: Simplify right side
    4,157.72x = 8,635,368.25
  5. Step 5: Solve for x
    x = 8,635,368.25/4,157.72
  6. Step 6: Final answer
    x = 2,076.95

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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.