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Finding the Fourth Proportional to 4,640.36, 6,405.70 and 2,777

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Solution

The fourth proportional to 4,640.36, 6,405.70 and 2,777 is: 3,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.36 : 6,405.70 = 2,777 : x
  2. Step 2: Convert to fraction form
    4,640.36/6,405.70 = 2,777/x
  3. Step 3: Cross multiply
    4,640.36x = 6,405.70 × 2,777
  4. Step 4: Simplify right side
    4,640.36x = 17,788,628.90
  5. Step 5: Solve for x
    x = 17,788,628.90/4,640.36
  6. Step 6: Final answer
    x = 3,833.46

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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.