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Finding the Fourth Proportional to 3,731.70, 5,597.28 and 1,783.38

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Solution

The fourth proportional to 3,731.70, 5,597.28 and 1,783.38 is: 2,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.70 : 5,597.28 = 1,783.38 : x
  2. Step 2: Convert to fraction form
    3,731.70/5,597.28 = 1,783.38/x
  3. Step 3: Cross multiply
    3,731.70x = 5,597.28 × 1,783.38
  4. Step 4: Simplify right side
    3,731.70x = 9,982,077.21
  5. Step 5: Solve for x
    x = 9,982,077.21/3,731.70
  6. Step 6: Final answer
    x = 2,674.94

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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.