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Finding the Fourth Proportional to 4,644.64, 6,409.59 and 2,781.64

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Solution

The fourth proportional to 4,644.64, 6,409.59 and 2,781.64 is: 3,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.64 : 6,409.59 = 2,781.64 : x
  2. Step 2: Convert to fraction form
    4,644.64/6,409.59 = 2,781.64/x
  3. Step 3: Cross multiply
    4,644.64x = 6,409.59 × 2,781.64
  4. Step 4: Simplify right side
    4,644.64x = 17,829,171.93
  5. Step 5: Solve for x
    x = 17,829,171.93/4,644.64
  6. Step 6: Final answer
    x = 3,838.66

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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.