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Finding the Fourth Proportional to 3,606.39, 5,409.63 and 1,416.15

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Solution

The fourth proportional to 3,606.39, 5,409.63 and 1,416.15 is: 2,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.39 : 5,409.63 = 1,416.15 : x
  2. Step 2: Convert to fraction form
    3,606.39/5,409.63 = 1,416.15/x
  3. Step 3: Cross multiply
    3,606.39x = 5,409.63 × 1,416.15
  4. Step 4: Simplify right side
    3,606.39x = 7,660,847.52
  5. Step 5: Solve for x
    x = 7,660,847.52/3,606.39
  6. Step 6: Final answer
    x = 2,124.24

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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.