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Finding the Fourth Proportional to 4,838.77, 6,662.60 and 4,237.80

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Solution

The fourth proportional to 4,838.77, 6,662.60 and 4,237.80 is: 5,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.77 : 6,662.60 = 4,237.80 : x
  2. Step 2: Convert to fraction form
    4,838.77/6,662.60 = 4,237.80/x
  3. Step 3: Cross multiply
    4,838.77x = 6,662.60 × 4,237.80
  4. Step 4: Simplify right side
    4,838.77x = 28,234,766.28
  5. Step 5: Solve for x
    x = 28,234,766.28/4,838.77
  6. Step 6: Final answer
    x = 5,835.11

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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.