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Finding the Fourth Proportional to 5,102.16, 7,644.84 and 4,910.22

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Solution

The fourth proportional to 5,102.16, 7,644.84 and 4,910.22 is: 7,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.16 : 7,644.84 = 4,910.22 : x
  2. Step 2: Convert to fraction form
    5,102.16/7,644.84 = 4,910.22/x
  3. Step 3: Cross multiply
    5,102.16x = 7,644.84 × 4,910.22
  4. Step 4: Simplify right side
    5,102.16x = 37,537,846.26
  5. Step 5: Solve for x
    x = 37,537,846.26/5,102.16
  6. Step 6: Final answer
    x = 7,357.25

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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.