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Finding the Fourth Proportional to 3,756.71, 5,635.41 and 983.34

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Solution

The fourth proportional to 3,756.71, 5,635.41 and 983.34 is: 1,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.71 : 5,635.41 = 983.34 : x
  2. Step 2: Convert to fraction form
    3,756.71/5,635.41 = 983.34/x
  3. Step 3: Cross multiply
    3,756.71x = 5,635.41 × 983.34
  4. Step 4: Simplify right side
    3,756.71x = 5,541,520.38
  5. Step 5: Solve for x
    x = 5,541,520.38/3,756.71
  6. Step 6: Final answer
    x = 1,475.10

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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.