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Finding the Fourth Proportional to 4,103.66, 6,156.41 and 1,639.64

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Solution

The fourth proportional to 4,103.66, 6,156.41 and 1,639.64 is: 2,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.66 : 6,156.41 = 1,639.64 : x
  2. Step 2: Convert to fraction form
    4,103.66/6,156.41 = 1,639.64/x
  3. Step 3: Cross multiply
    4,103.66x = 6,156.41 × 1,639.64
  4. Step 4: Simplify right side
    4,103.66x = 10,094,303.29
  5. Step 5: Solve for x
    x = 10,094,303.29/4,103.66
  6. Step 6: Final answer
    x = 2,459.83

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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.