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Finding the Fourth Proportional to 4,644.76, 6,409.55 and 2,548.84

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Solution

The fourth proportional to 4,644.76, 6,409.55 and 2,548.84 is: 3,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.76 : 6,409.55 = 2,548.84 : x
  2. Step 2: Convert to fraction form
    4,644.76/6,409.55 = 2,548.84/x
  3. Step 3: Cross multiply
    4,644.76x = 6,409.55 × 2,548.84
  4. Step 4: Simplify right side
    4,644.76x = 16,336,917.42
  5. Step 5: Solve for x
    x = 16,336,917.42/4,644.76
  6. Step 6: Final answer
    x = 3,517.28

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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.