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Finding the Fourth Proportional to 3,596.31, 5,391.90 and 1,405.26

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Solution

The fourth proportional to 3,596.31, 5,391.90 and 1,405.26 is: 2,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.31 : 5,391.90 = 1,405.26 : x
  2. Step 2: Convert to fraction form
    3,596.31/5,391.90 = 1,405.26/x
  3. Step 3: Cross multiply
    3,596.31x = 5,391.90 × 1,405.26
  4. Step 4: Simplify right side
    3,596.31x = 7,577,021.39
  5. Step 5: Solve for x
    x = 7,577,021.39/3,596.31
  6. Step 6: Final answer
    x = 2,106.89

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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.