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Finding the Fourth Proportional to 3,731.06, 5,596.56 and 957.72

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Solution

The fourth proportional to 3,731.06, 5,596.56 and 957.72 is: 1,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.06 : 5,596.56 = 957.72 : x
  2. Step 2: Convert to fraction form
    3,731.06/5,596.56 = 957.72/x
  3. Step 3: Cross multiply
    3,731.06x = 5,596.56 × 957.72
  4. Step 4: Simplify right side
    3,731.06x = 5,359,937.44
  5. Step 5: Solve for x
    x = 5,359,937.44/3,731.06
  6. Step 6: Final answer
    x = 1,436.57

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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.