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Finding the Fourth Proportional to 5,105.08, 7,045 and 2,982.07

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Solution

The fourth proportional to 5,105.08, 7,045 and 2,982.07 is: 4,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.08 : 7,045 = 2,982.07 : x
  2. Step 2: Convert to fraction form
    5,105.08/7,045 = 2,982.07/x
  3. Step 3: Cross multiply
    5,105.08x = 7,045 × 2,982.07
  4. Step 4: Simplify right side
    5,105.08x = 21,008,683.15
  5. Step 5: Solve for x
    x = 21,008,683.15/5,105.08
  6. Step 6: Final answer
    x = 4,115.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.