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Finding the Fourth Proportional to 3,401.96, 5,102.64 and 936.70

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Solution

The fourth proportional to 3,401.96, 5,102.64 and 936.70 is: 1,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.96 : 5,102.64 = 936.70 : x
  2. Step 2: Convert to fraction form
    3,401.96/5,102.64 = 936.70/x
  3. Step 3: Cross multiply
    3,401.96x = 5,102.64 × 936.70
  4. Step 4: Simplify right side
    3,401.96x = 4,779,642.89
  5. Step 5: Solve for x
    x = 4,779,642.89/3,401.96
  6. Step 6: Final answer
    x = 1,404.97

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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.