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Finding the Fourth Proportional to 4,188.44, 6,285.54 and 2,137.88

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Solution

The fourth proportional to 4,188.44, 6,285.54 and 2,137.88 is: 3,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.44 : 6,285.54 = 2,137.88 : x
  2. Step 2: Convert to fraction form
    4,188.44/6,285.54 = 2,137.88/x
  3. Step 3: Cross multiply
    4,188.44x = 6,285.54 × 2,137.88
  4. Step 4: Simplify right side
    4,188.44x = 13,437,730.26
  5. Step 5: Solve for x
    x = 13,437,730.26/4,188.44
  6. Step 6: Final answer
    x = 3,208.29

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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.