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Finding the Fourth Proportional to 5,100.63, 7,649.97 and 1,401.93

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Solution

The fourth proportional to 5,100.63, 7,649.97 and 1,401.93 is: 2,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.63 : 7,649.97 = 1,401.93 : x
  2. Step 2: Convert to fraction form
    5,100.63/7,649.97 = 1,401.93/x
  3. Step 3: Cross multiply
    5,100.63x = 7,649.97 × 1,401.93
  4. Step 4: Simplify right side
    5,100.63x = 10,724,722.44
  5. Step 5: Solve for x
    x = 10,724,722.44/5,100.63
  6. Step 6: Final answer
    x = 2,102.63

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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.