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Finding the Fourth Proportional to 5,477.76, 8,214.48 and 2,879.04

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Solution

The fourth proportional to 5,477.76, 8,214.48 and 2,879.04 is: 4,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.76 : 8,214.48 = 2,879.04 : x
  2. Step 2: Convert to fraction form
    5,477.76/8,214.48 = 2,879.04/x
  3. Step 3: Cross multiply
    5,477.76x = 8,214.48 × 2,879.04
  4. Step 4: Simplify right side
    5,477.76x = 23,649,816.50
  5. Step 5: Solve for x
    x = 23,649,816.50/5,477.76
  6. Step 6: Final answer
    x = 4,317.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.