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Finding the Fourth Proportional to 5,367.96, 8,051.03 and 1,419.26

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Solution

The fourth proportional to 5,367.96, 8,051.03 and 1,419.26 is: 2,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.96 : 8,051.03 = 1,419.26 : x
  2. Step 2: Convert to fraction form
    5,367.96/8,051.03 = 1,419.26/x
  3. Step 3: Cross multiply
    5,367.96x = 8,051.03 × 1,419.26
  4. Step 4: Simplify right side
    5,367.96x = 11,426,530.74
  5. Step 5: Solve for x
    x = 11,426,530.74/5,367.96
  6. Step 6: Final answer
    x = 2,128.65

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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.