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Finding the Fourth Proportional to 6,172.30, 8,516.04 and 3,653.30

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Solution

The fourth proportional to 6,172.30, 8,516.04 and 3,653.30 is: 5,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.30 : 8,516.04 = 3,653.30 : x
  2. Step 2: Convert to fraction form
    6,172.30/8,516.04 = 3,653.30/x
  3. Step 3: Cross multiply
    6,172.30x = 8,516.04 × 3,653.30
  4. Step 4: Simplify right side
    6,172.30x = 31,111,656.52
  5. Step 5: Solve for x
    x = 31,111,656.52/6,172.30
  6. Step 6: Final answer
    x = 5,040.53

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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.