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Finding the Fourth Proportional to 3,700.12, 5,546.94 and 1,390

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Solution

The fourth proportional to 3,700.12, 5,546.94 and 1,390 is: 2,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.12 : 5,546.94 = 1,390 : x
  2. Step 2: Convert to fraction form
    3,700.12/5,546.94 = 1,390/x
  3. Step 3: Cross multiply
    3,700.12x = 5,546.94 × 1,390
  4. Step 4: Simplify right side
    3,700.12x = 7,710,246.60
  5. Step 5: Solve for x
    x = 7,710,246.60/3,700.12
  6. Step 6: Final answer
    x = 2,083.78

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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.