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Finding the Fourth Proportional to 6,049.84, 8,351.96 and 4,070.80

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Solution

The fourth proportional to 6,049.84, 8,351.96 and 4,070.80 is: 5,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.84 : 8,351.96 = 4,070.80 : x
  2. Step 2: Convert to fraction form
    6,049.84/8,351.96 = 4,070.80/x
  3. Step 3: Cross multiply
    6,049.84x = 8,351.96 × 4,070.80
  4. Step 4: Simplify right side
    6,049.84x = 33,999,158.77
  5. Step 5: Solve for x
    x = 33,999,158.77/6,049.84
  6. Step 6: Final answer
    x = 5,619.84

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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.