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Finding the Fourth Proportional to 6,126.56, 8,464.56 and 4,271.84

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Solution

The fourth proportional to 6,126.56, 8,464.56 and 4,271.84 is: 5,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.56 : 8,464.56 = 4,271.84 : x
  2. Step 2: Convert to fraction form
    6,126.56/8,464.56 = 4,271.84/x
  3. Step 3: Cross multiply
    6,126.56x = 8,464.56 × 4,271.84
  4. Step 4: Simplify right side
    6,126.56x = 36,159,245.99
  5. Step 5: Solve for x
    x = 36,159,245.99/6,126.56
  6. Step 6: Final answer
    x = 5,902.05

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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.