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Finding the Fourth Proportional to 3,645.36, 5,460.66 and 2,409.66

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Solution

The fourth proportional to 3,645.36, 5,460.66 and 2,409.66 is: 3,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.36 : 5,460.66 = 2,409.66 : x
  2. Step 2: Convert to fraction form
    3,645.36/5,460.66 = 2,409.66/x
  3. Step 3: Cross multiply
    3,645.36x = 5,460.66 × 2,409.66
  4. Step 4: Simplify right side
    3,645.36x = 13,158,333.98
  5. Step 5: Solve for x
    x = 13,158,333.98/3,645.36
  6. Step 6: Final answer
    x = 3,609.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.