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Finding the Fourth Proportional to 5,100.32, 7,650.52 and 1,402.94

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Solution

The fourth proportional to 5,100.32, 7,650.52 and 1,402.94 is: 2,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.32 : 7,650.52 = 1,402.94 : x
  2. Step 2: Convert to fraction form
    5,100.32/7,650.52 = 1,402.94/x
  3. Step 3: Cross multiply
    5,100.32x = 7,650.52 × 1,402.94
  4. Step 4: Simplify right side
    5,100.32x = 10,733,236.15
  5. Step 5: Solve for x
    x = 10,733,236.15/5,100.32
  6. Step 6: Final answer
    x = 2,104.42

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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.