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Finding the Fourth Proportional to 4,643.96, 6,409.11 and 2,654.13

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Solution

The fourth proportional to 4,643.96, 6,409.11 and 2,654.13 is: 3,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.96 : 6,409.11 = 2,654.13 : x
  2. Step 2: Convert to fraction form
    4,643.96/6,409.11 = 2,654.13/x
  3. Step 3: Cross multiply
    4,643.96x = 6,409.11 × 2,654.13
  4. Step 4: Simplify right side
    4,643.96x = 17,010,612.16
  5. Step 5: Solve for x
    x = 17,010,612.16/4,643.96
  6. Step 6: Final answer
    x = 3,662.96

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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.