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Finding the Fourth Proportional to 4,146.94, 6,216.50 and 2,064.98

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Solution

The fourth proportional to 4,146.94, 6,216.50 and 2,064.98 is: 3,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.94 : 6,216.50 = 2,064.98 : x
  2. Step 2: Convert to fraction form
    4,146.94/6,216.50 = 2,064.98/x
  3. Step 3: Cross multiply
    4,146.94x = 6,216.50 × 2,064.98
  4. Step 4: Simplify right side
    4,146.94x = 12,836,917.09
  5. Step 5: Solve for x
    x = 12,836,917.09/4,146.94
  6. Step 6: Final answer
    x = 3,095.52

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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.