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Finding the Fourth Proportional to 6,104.48, 9,160.48 and 2,406.06

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Solution

The fourth proportional to 6,104.48, 9,160.48 and 2,406.06 is: 3,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.48 : 9,160.48 = 2,406.06 : x
  2. Step 2: Convert to fraction form
    6,104.48/9,160.48 = 2,406.06/x
  3. Step 3: Cross multiply
    6,104.48x = 9,160.48 × 2,406.06
  4. Step 4: Simplify right side
    6,104.48x = 22,040,664.51
  5. Step 5: Solve for x
    x = 22,040,664.51/6,104.48
  6. Step 6: Final answer
    x = 3,610.57

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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.