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Finding the Fourth Proportional to 4,379.54, 6,570.23 and 1,418.22

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Solution

The fourth proportional to 4,379.54, 6,570.23 and 1,418.22 is: 2,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.54 : 6,570.23 = 1,418.22 : x
  2. Step 2: Convert to fraction form
    4,379.54/6,570.23 = 1,418.22/x
  3. Step 3: Cross multiply
    4,379.54x = 6,570.23 × 1,418.22
  4. Step 4: Simplify right side
    4,379.54x = 9,318,024.50
  5. Step 5: Solve for x
    x = 9,318,024.50/4,379.54
  6. Step 6: Final answer
    x = 2,127.63

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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.