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Finding the Fourth Proportional to 4,215.86, 5,819.88 and 3,816.05

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Solution

The fourth proportional to 4,215.86, 5,819.88 and 3,816.05 is: 5,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.86 : 5,819.88 = 3,816.05 : x
  2. Step 2: Convert to fraction form
    4,215.86/5,819.88 = 3,816.05/x
  3. Step 3: Cross multiply
    4,215.86x = 5,819.88 × 3,816.05
  4. Step 4: Simplify right side
    4,215.86x = 22,208,987.39
  5. Step 5: Solve for x
    x = 22,208,987.39/4,215.86
  6. Step 6: Final answer
    x = 5,267.96

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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.