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Finding the Fourth Proportional to 3,709.86, 5,126.67 and 2,823.99

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Solution

The fourth proportional to 3,709.86, 5,126.67 and 2,823.99 is: 3,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.86 : 5,126.67 = 2,823.99 : x
  2. Step 2: Convert to fraction form
    3,709.86/5,126.67 = 2,823.99/x
  3. Step 3: Cross multiply
    3,709.86x = 5,126.67 × 2,823.99
  4. Step 4: Simplify right side
    3,709.86x = 14,477,664.81
  5. Step 5: Solve for x
    x = 14,477,664.81/3,709.86
  6. Step 6: Final answer
    x = 3,902.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.