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Finding the Fourth Proportional to 4,643.68, 6,408.16 and 2,654.07

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Solution

The fourth proportional to 4,643.68, 6,408.16 and 2,654.07 is: 3,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.68 : 6,408.16 = 2,654.07 : x
  2. Step 2: Convert to fraction form
    4,643.68/6,408.16 = 2,654.07/x
  3. Step 3: Cross multiply
    4,643.68x = 6,408.16 × 2,654.07
  4. Step 4: Simplify right side
    4,643.68x = 17,007,689.47
  5. Step 5: Solve for x
    x = 17,007,689.47/4,643.68
  6. Step 6: Final answer
    x = 3,662.55

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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.