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Finding the Fourth Proportional to 4,644.62, 6,409.58 and 2,548.80

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Solution

The fourth proportional to 4,644.62, 6,409.58 and 2,548.80 is: 3,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.62 : 6,409.58 = 2,548.80 : x
  2. Step 2: Convert to fraction form
    4,644.62/6,409.58 = 2,548.80/x
  3. Step 3: Cross multiply
    4,644.62x = 6,409.58 × 2,548.80
  4. Step 4: Simplify right side
    4,644.62x = 16,336,737.50
  5. Step 5: Solve for x
    x = 16,336,737.50/4,644.62
  6. Step 6: Final answer
    x = 3,517.35

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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.