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Finding the Fourth Proportional to 5,049.59, 7,570.74 and 2,126.30

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Solution

The fourth proportional to 5,049.59, 7,570.74 and 2,126.30 is: 3,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.59 : 7,570.74 = 2,126.30 : x
  2. Step 2: Convert to fraction form
    5,049.59/7,570.74 = 2,126.30/x
  3. Step 3: Cross multiply
    5,049.59x = 7,570.74 × 2,126.30
  4. Step 4: Simplify right side
    5,049.59x = 16,097,634.90
  5. Step 5: Solve for x
    x = 16,097,634.90/5,049.59
  6. Step 6: Final answer
    x = 3,187.91

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