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Finding the Fourth Proportional to 4,611.80, 6,471.10 and 4,611.80

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Solution

The fourth proportional to 4,611.80, 6,471.10 and 4,611.80 is: 6,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.80 : 6,471.10 = 4,611.80 : x
  2. Step 2: Convert to fraction form
    4,611.80/6,471.10 = 4,611.80/x
  3. Step 3: Cross multiply
    4,611.80x = 6,471.10 × 4,611.80
  4. Step 4: Simplify right side
    4,611.80x = 29,843,418.98
  5. Step 5: Solve for x
    x = 29,843,418.98/4,611.80
  6. Step 6: Final answer
    x = 6,471.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.