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Finding the Fourth Proportional to 4,643.46, 6,408.40 and 2,654.02

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Solution

The fourth proportional to 4,643.46, 6,408.40 and 2,654.02 is: 3,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.46 : 6,408.40 = 2,654.02 : x
  2. Step 2: Convert to fraction form
    4,643.46/6,408.40 = 2,654.02/x
  3. Step 3: Cross multiply
    4,643.46x = 6,408.40 × 2,654.02
  4. Step 4: Simplify right side
    4,643.46x = 17,008,021.77
  5. Step 5: Solve for x
    x = 17,008,021.77/4,643.46
  6. Step 6: Final answer
    x = 3,662.79

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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.