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Finding the Fourth Proportional to 4,157.66, 6,237.84 and 1,384.40

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Solution

The fourth proportional to 4,157.66, 6,237.84 and 1,384.40 is: 2,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.66 : 6,237.84 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    4,157.66/6,237.84 = 1,384.40/x
  3. Step 3: Cross multiply
    4,157.66x = 6,237.84 × 1,384.40
  4. Step 4: Simplify right side
    4,157.66x = 8,635,665.70
  5. Step 5: Solve for x
    x = 8,635,665.70/4,157.66
  6. Step 6: Final answer
    x = 2,077.05

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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.