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Finding the Fourth Proportional to 4,612.06, 6,912.86 and 4,055.69

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Solution

The fourth proportional to 4,612.06, 6,912.86 and 4,055.69 is: 6,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.06 : 6,912.86 = 4,055.69 : x
  2. Step 2: Convert to fraction form
    4,612.06/6,912.86 = 4,055.69/x
  3. Step 3: Cross multiply
    4,612.06x = 6,912.86 × 4,055.69
  4. Step 4: Simplify right side
    4,612.06x = 28,036,444.59
  5. Step 5: Solve for x
    x = 28,036,444.59/4,612.06
  6. Step 6: Final answer
    x = 6,078.95

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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.