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Finding the Fourth Proportional to 4,686.72, 6,466.68 and 2,797.80

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Solution

The fourth proportional to 4,686.72, 6,466.68 and 2,797.80 is: 3,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.72 : 6,466.68 = 2,797.80 : x
  2. Step 2: Convert to fraction form
    4,686.72/6,466.68 = 2,797.80/x
  3. Step 3: Cross multiply
    4,686.72x = 6,466.68 × 2,797.80
  4. Step 4: Simplify right side
    4,686.72x = 18,092,477.30
  5. Step 5: Solve for x
    x = 18,092,477.30/4,686.72
  6. Step 6: Final answer
    x = 3,860.37

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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.