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Finding the Fourth Proportional to 4,428.06, 6,617.94 and 4,077.78

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Solution

The fourth proportional to 4,428.06, 6,617.94 and 4,077.78 is: 6,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428.06 : 6,617.94 = 4,077.78 : x
  2. Step 2: Convert to fraction form
    4,428.06/6,617.94 = 4,077.78/x
  3. Step 3: Cross multiply
    4,428.06x = 6,617.94 × 4,077.78
  4. Step 4: Simplify right side
    4,428.06x = 26,986,503.37
  5. Step 5: Solve for x
    x = 26,986,503.37/4,428.06
  6. Step 6: Final answer
    x = 6,094.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.