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Finding the Fourth Proportional to 5,811.90, 8,714.21 and 3,039.48

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Solution

The fourth proportional to 5,811.90, 8,714.21 and 3,039.48 is: 4,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.90 : 8,714.21 = 3,039.48 : x
  2. Step 2: Convert to fraction form
    5,811.90/8,714.21 = 3,039.48/x
  3. Step 3: Cross multiply
    5,811.90x = 8,714.21 × 3,039.48
  4. Step 4: Simplify right side
    5,811.90x = 26,486,651.81
  5. Step 5: Solve for x
    x = 26,486,651.81/5,811.90
  6. Step 6: Final answer
    x = 4,557.31

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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.