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Finding the Fourth Proportional to 4,393.49, 6,586.52 and 2,052.25

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Solution

The fourth proportional to 4,393.49, 6,586.52 and 2,052.25 is: 3,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.49 : 6,586.52 = 2,052.25 : x
  2. Step 2: Convert to fraction form
    4,393.49/6,586.52 = 2,052.25/x
  3. Step 3: Cross multiply
    4,393.49x = 6,586.52 × 2,052.25
  4. Step 4: Simplify right side
    4,393.49x = 13,517,158.94
  5. Step 5: Solve for x
    x = 13,517,158.94/4,393.49
  6. Step 6: Final answer
    x = 3,076.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.