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Finding the Fourth Proportional to 4,772.85, 6,586.20 and 2,783.31

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Solution

The fourth proportional to 4,772.85, 6,586.20 and 2,783.31 is: 3,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.85 : 6,586.20 = 2,783.31 : x
  2. Step 2: Convert to fraction form
    4,772.85/6,586.20 = 2,783.31/x
  3. Step 3: Cross multiply
    4,772.85x = 6,586.20 × 2,783.31
  4. Step 4: Simplify right side
    4,772.85x = 18,331,436.32
  5. Step 5: Solve for x
    x = 18,331,436.32/4,772.85
  6. Step 6: Final answer
    x = 3,840.77

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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.