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Finding the Fourth Proportional to 6,434.64, 8,878.68 and 3,639.60

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Solution

The fourth proportional to 6,434.64, 8,878.68 and 3,639.60 is: 5,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.64 : 8,878.68 = 3,639.60 : x
  2. Step 2: Convert to fraction form
    6,434.64/8,878.68 = 3,639.60/x
  3. Step 3: Cross multiply
    6,434.64x = 8,878.68 × 3,639.60
  4. Step 4: Simplify right side
    6,434.64x = 32,314,843.73
  5. Step 5: Solve for x
    x = 32,314,843.73/6,434.64
  6. Step 6: Final answer
    x = 5,022.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.