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Finding the Fourth Proportional to 3,467.86, 4,774.54 and 2,806.90

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Solution

The fourth proportional to 3,467.86, 4,774.54 and 2,806.90 is: 3,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.86 : 4,774.54 = 2,806.90 : x
  2. Step 2: Convert to fraction form
    3,467.86/4,774.54 = 2,806.90/x
  3. Step 3: Cross multiply
    3,467.86x = 4,774.54 × 2,806.90
  4. Step 4: Simplify right side
    3,467.86x = 13,401,656.33
  5. Step 5: Solve for x
    x = 13,401,656.33/3,467.86
  6. Step 6: Final answer
    x = 3,864.53

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