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Finding the Fourth Proportional to 4,679.66, 6,455.13 and 3,419.18

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Solution

The fourth proportional to 4,679.66, 6,455.13 and 3,419.18 is: 4,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.66 : 6,455.13 = 3,419.18 : x
  2. Step 2: Convert to fraction form
    4,679.66/6,455.13 = 3,419.18/x
  3. Step 3: Cross multiply
    4,679.66x = 6,455.13 × 3,419.18
  4. Step 4: Simplify right side
    4,679.66x = 22,071,251.39
  5. Step 5: Solve for x
    x = 22,071,251.39/4,679.66
  6. Step 6: Final answer
    x = 4,716.42

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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.