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Finding the Fourth Proportional to 4,126.77, 6,191.06 and 2,047.90

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Solution

The fourth proportional to 4,126.77, 6,191.06 and 2,047.90 is: 3,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.77 : 6,191.06 = 2,047.90 : x
  2. Step 2: Convert to fraction form
    4,126.77/6,191.06 = 2,047.90/x
  3. Step 3: Cross multiply
    4,126.77x = 6,191.06 × 2,047.90
  4. Step 4: Simplify right side
    4,126.77x = 12,678,671.77
  5. Step 5: Solve for x
    x = 12,678,671.77/4,126.77
  6. Step 6: Final answer
    x = 3,072.30

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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.