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Finding the Fourth Proportional to 6,023.49, 8,312.67 and 3,724.38

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Solution

The fourth proportional to 6,023.49, 8,312.67 and 3,724.38 is: 5,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.49 : 8,312.67 = 3,724.38 : x
  2. Step 2: Convert to fraction form
    6,023.49/8,312.67 = 3,724.38/x
  3. Step 3: Cross multiply
    6,023.49x = 8,312.67 × 3,724.38
  4. Step 4: Simplify right side
    6,023.49x = 30,959,541.89
  5. Step 5: Solve for x
    x = 30,959,541.89/6,023.49
  6. Step 6: Final answer
    x = 5,139.80

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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.