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Finding the Fourth Proportional to 4,643.20, 6,408.16 and 2,654.08

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Solution

The fourth proportional to 4,643.20, 6,408.16 and 2,654.08 is: 3,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.20 : 6,408.16 = 2,654.08 : x
  2. Step 2: Convert to fraction form
    4,643.20/6,408.16 = 2,654.08/x
  3. Step 3: Cross multiply
    4,643.20x = 6,408.16 × 2,654.08
  4. Step 4: Simplify right side
    4,643.20x = 17,007,769.29
  5. Step 5: Solve for x
    x = 17,007,769.29/4,643.20
  6. Step 6: Final answer
    x = 3,662.94

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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.