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Finding the Fourth Proportional to 5,343, 8,014.48 and 1,833.07

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Solution

The fourth proportional to 5,343, 8,014.48 and 1,833.07 is: 2,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343 : 8,014.48 = 1,833.07 : x
  2. Step 2: Convert to fraction form
    5,343/8,014.48 = 1,833.07/x
  3. Step 3: Cross multiply
    5,343x = 8,014.48 × 1,833.07
  4. Step 4: Simplify right side
    5,343x = 14,691,102.85
  5. Step 5: Solve for x
    x = 14,691,102.85/5,343
  6. Step 6: Final answer
    x = 2,749.60

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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.