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Finding the Fourth Proportional to 5,236.80, 7,855.20 and 1,774.08

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Solution

The fourth proportional to 5,236.80, 7,855.20 and 1,774.08 is: 2,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.80 : 7,855.20 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    5,236.80/7,855.20 = 1,774.08/x
  3. Step 3: Cross multiply
    5,236.80x = 7,855.20 × 1,774.08
  4. Step 4: Simplify right side
    5,236.80x = 13,935,753.22
  5. Step 5: Solve for x
    x = 13,935,753.22/5,236.80
  6. Step 6: Final answer
    x = 2,661.12

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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.