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Finding the Fourth Proportional to 3,731.30, 5,597.07 and 1,538.54

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Solution

The fourth proportional to 3,731.30, 5,597.07 and 1,538.54 is: 2,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.30 : 5,597.07 = 1,538.54 : x
  2. Step 2: Convert to fraction form
    3,731.30/5,597.07 = 1,538.54/x
  3. Step 3: Cross multiply
    3,731.30x = 5,597.07 × 1,538.54
  4. Step 4: Simplify right side
    3,731.30x = 8,611,316.08
  5. Step 5: Solve for x
    x = 8,611,316.08/3,731.30
  6. Step 6: Final answer
    x = 2,307.86

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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.