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Finding the Fourth Proportional to 3,537.54, 5,305.61 and 1,071.78

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Solution

The fourth proportional to 3,537.54, 5,305.61 and 1,071.78 is: 1,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.54 : 5,305.61 = 1,071.78 : x
  2. Step 2: Convert to fraction form
    3,537.54/5,305.61 = 1,071.78/x
  3. Step 3: Cross multiply
    3,537.54x = 5,305.61 × 1,071.78
  4. Step 4: Simplify right side
    3,537.54x = 5,686,446.69
  5. Step 5: Solve for x
    x = 5,686,446.69/3,537.54
  6. Step 6: Final answer
    x = 1,607.46

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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.