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Finding the Fourth Proportional to 6,541.08, 9,813.01 and 3,420.26

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Solution

The fourth proportional to 6,541.08, 9,813.01 and 3,420.26 is: 5,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.08 : 9,813.01 = 3,420.26 : x
  2. Step 2: Convert to fraction form
    6,541.08/9,813.01 = 3,420.26/x
  3. Step 3: Cross multiply
    6,541.08x = 9,813.01 × 3,420.26
  4. Step 4: Simplify right side
    6,541.08x = 33,562,996.52
  5. Step 5: Solve for x
    x = 33,562,996.52/6,541.08
  6. Step 6: Final answer
    x = 5,131.11

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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.