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Finding the Fourth Proportional to 4,899.06, 7,347.10 and 1,611.41

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Solution

The fourth proportional to 4,899.06, 7,347.10 and 1,611.41 is: 2,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.06 : 7,347.10 = 1,611.41 : x
  2. Step 2: Convert to fraction form
    4,899.06/7,347.10 = 1,611.41/x
  3. Step 3: Cross multiply
    4,899.06x = 7,347.10 × 1,611.41
  4. Step 4: Simplify right side
    4,899.06x = 11,839,190.41
  5. Step 5: Solve for x
    x = 11,839,190.41/4,899.06
  6. Step 6: Final answer
    x = 2,416.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.