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Finding the Fourth Proportional to 5,225.16, 7,840.89 and 4,896.84

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Solution

The fourth proportional to 5,225.16, 7,840.89 and 4,896.84 is: 7,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.16 : 7,840.89 = 4,896.84 : x
  2. Step 2: Convert to fraction form
    5,225.16/7,840.89 = 4,896.84/x
  3. Step 3: Cross multiply
    5,225.16x = 7,840.89 × 4,896.84
  4. Step 4: Simplify right side
    5,225.16x = 38,395,583.79
  5. Step 5: Solve for x
    x = 38,395,583.79/5,225.16
  6. Step 6: Final answer
    x = 7,348.21

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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.