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Finding the Fourth Proportional to 4,466.52, 6,163.80 and 2,477.01

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Solution

The fourth proportional to 4,466.52, 6,163.80 and 2,477.01 is: 3,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.52 : 6,163.80 = 2,477.01 : x
  2. Step 2: Convert to fraction form
    4,466.52/6,163.80 = 2,477.01/x
  3. Step 3: Cross multiply
    4,466.52x = 6,163.80 × 2,477.01
  4. Step 4: Simplify right side
    4,466.52x = 15,267,794.24
  5. Step 5: Solve for x
    x = 15,267,794.24/4,466.52
  6. Step 6: Final answer
    x = 3,418.28

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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.