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Finding the Fourth Proportional to 6,056.24, 9,084.24 and 1,896.26

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Solution

The fourth proportional to 6,056.24, 9,084.24 and 1,896.26 is: 2,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.24 : 9,084.24 = 1,896.26 : x
  2. Step 2: Convert to fraction form
    6,056.24/9,084.24 = 1,896.26/x
  3. Step 3: Cross multiply
    6,056.24x = 9,084.24 × 1,896.26
  4. Step 4: Simplify right side
    6,056.24x = 17,226,035.52
  5. Step 5: Solve for x
    x = 17,226,035.52/6,056.24
  6. Step 6: Final answer
    x = 2,844.35

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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.