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Finding the Fourth Proportional to 5,260.64, 7,893.72 and 2,142.95

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Solution

The fourth proportional to 5,260.64, 7,893.72 and 2,142.95 is: 3,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.64 : 7,893.72 = 2,142.95 : x
  2. Step 2: Convert to fraction form
    5,260.64/7,893.72 = 2,142.95/x
  3. Step 3: Cross multiply
    5,260.64x = 7,893.72 × 2,142.95
  4. Step 4: Simplify right side
    5,260.64x = 16,915,807.81
  5. Step 5: Solve for x
    x = 16,915,807.81/5,260.64
  6. Step 6: Final answer
    x = 3,215.54

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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.