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Finding the Fourth Proportional to 4,914.23, 7,367.69 and 4,419.18

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Solution

The fourth proportional to 4,914.23, 7,367.69 and 4,419.18 is: 6,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.23 : 7,367.69 = 4,419.18 : x
  2. Step 2: Convert to fraction form
    4,914.23/7,367.69 = 4,419.18/x
  3. Step 3: Cross multiply
    4,914.23x = 7,367.69 × 4,419.18
  4. Step 4: Simplify right side
    4,914.23x = 32,559,126.20
  5. Step 5: Solve for x
    x = 32,559,126.20/4,914.23
  6. Step 6: Final answer
    x = 6,625.49

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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.