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Finding the Fourth Proportional to 5,266.32, 7,896.83 and 1,755.08

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Solution

The fourth proportional to 5,266.32, 7,896.83 and 1,755.08 is: 2,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.32 : 7,896.83 = 1,755.08 : x
  2. Step 2: Convert to fraction form
    5,266.32/7,896.83 = 1,755.08/x
  3. Step 3: Cross multiply
    5,266.32x = 7,896.83 × 1,755.08
  4. Step 4: Simplify right side
    5,266.32x = 13,859,549.75
  5. Step 5: Solve for x
    x = 13,859,549.75/5,266.32
  6. Step 6: Final answer
    x = 2,631.74

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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.