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Finding the Fourth Proportional to 5,161.59, 7,725.96 and 3,693.57

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Solution

The fourth proportional to 5,161.59, 7,725.96 and 3,693.57 is: 5,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.59 : 7,725.96 = 3,693.57 : x
  2. Step 2: Convert to fraction form
    5,161.59/7,725.96 = 3,693.57/x
  3. Step 3: Cross multiply
    5,161.59x = 7,725.96 × 3,693.57
  4. Step 4: Simplify right side
    5,161.59x = 28,536,374.08
  5. Step 5: Solve for x
    x = 28,536,374.08/5,161.59
  6. Step 6: Final answer
    x = 5,528.60

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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.