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Finding the Fourth Proportional to 4,157.87, 6,238.65 and 1,966.01

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Solution

The fourth proportional to 4,157.87, 6,238.65 and 1,966.01 is: 2,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.87 : 6,238.65 = 1,966.01 : x
  2. Step 2: Convert to fraction form
    4,157.87/6,238.65 = 1,966.01/x
  3. Step 3: Cross multiply
    4,157.87x = 6,238.65 × 1,966.01
  4. Step 4: Simplify right side
    4,157.87x = 12,265,248.29
  5. Step 5: Solve for x
    x = 12,265,248.29/4,157.87
  6. Step 6: Final answer
    x = 2,949.89

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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.