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Finding the Fourth Proportional to 3,596.23, 5,394.96 and 1,648.60

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Solution

The fourth proportional to 3,596.23, 5,394.96 and 1,648.60 is: 2,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.23 : 5,394.96 = 1,648.60 : x
  2. Step 2: Convert to fraction form
    3,596.23/5,394.96 = 1,648.60/x
  3. Step 3: Cross multiply
    3,596.23x = 5,394.96 × 1,648.60
  4. Step 4: Simplify right side
    3,596.23x = 8,894,131.06
  5. Step 5: Solve for x
    x = 8,894,131.06/3,596.23
  6. Step 6: Final answer
    x = 2,473.18

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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.