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Finding the Fourth Proportional to 4,268.64, 6,396.88 and 2,417

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Solution

The fourth proportional to 4,268.64, 6,396.88 and 2,417 is: 3,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.64 : 6,396.88 = 2,417 : x
  2. Step 2: Convert to fraction form
    4,268.64/6,396.88 = 2,417/x
  3. Step 3: Cross multiply
    4,268.64x = 6,396.88 × 2,417
  4. Step 4: Simplify right side
    4,268.64x = 15,461,258.96
  5. Step 5: Solve for x
    x = 15,461,258.96/4,268.64
  6. Step 6: Final answer
    x = 3,622.06

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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.