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Finding the Fourth Proportional to 5,876.94, 8,107.35 and 3,391.50

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Solution

The fourth proportional to 5,876.94, 8,107.35 and 3,391.50 is: 4,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.94 : 8,107.35 = 3,391.50 : x
  2. Step 2: Convert to fraction form
    5,876.94/8,107.35 = 3,391.50/x
  3. Step 3: Cross multiply
    5,876.94x = 8,107.35 × 3,391.50
  4. Step 4: Simplify right side
    5,876.94x = 27,496,077.53
  5. Step 5: Solve for x
    x = 27,496,077.53/5,876.94
  6. Step 6: Final answer
    x = 4,678.64

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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.