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Finding the Fourth Proportional to 5,878.94, 8,109.86 and 3,640.10

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Solution

The fourth proportional to 5,878.94, 8,109.86 and 3,640.10 is: 5,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.94 : 8,109.86 = 3,640.10 : x
  2. Step 2: Convert to fraction form
    5,878.94/8,109.86 = 3,640.10/x
  3. Step 3: Cross multiply
    5,878.94x = 8,109.86 × 3,640.10
  4. Step 4: Simplify right side
    5,878.94x = 29,520,701.39
  5. Step 5: Solve for x
    x = 29,520,701.39/5,878.94
  6. Step 6: Final answer
    x = 5,021.43

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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.