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Finding the Fourth Proportional to 3,538.47, 5,307.11 and 1,072.70

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Solution

The fourth proportional to 3,538.47, 5,307.11 and 1,072.70 is: 1,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.47 : 5,307.11 = 1,072.70 : x
  2. Step 2: Convert to fraction form
    3,538.47/5,307.11 = 1,072.70/x
  3. Step 3: Cross multiply
    3,538.47x = 5,307.11 × 1,072.70
  4. Step 4: Simplify right side
    3,538.47x = 5,692,905.00
  5. Step 5: Solve for x
    x = 5,692,905.00/3,538.47
  6. Step 6: Final answer
    x = 1,608.86

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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.