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Finding the Fourth Proportional to 5,466.23, 7,540.44 and 4,516.40

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Solution

The fourth proportional to 5,466.23, 7,540.44 and 4,516.40 is: 6,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.23 : 7,540.44 = 4,516.40 : x
  2. Step 2: Convert to fraction form
    5,466.23/7,540.44 = 4,516.40/x
  3. Step 3: Cross multiply
    5,466.23x = 7,540.44 × 4,516.40
  4. Step 4: Simplify right side
    5,466.23x = 34,055,643.22
  5. Step 5: Solve for x
    x = 34,055,643.22/5,466.23
  6. Step 6: Final answer
    x = 6,230.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.