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Finding the Fourth Proportional to 3,753.66, 5,630.40 and 1,673.14

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Solution

The fourth proportional to 3,753.66, 5,630.40 and 1,673.14 is: 2,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.66 : 5,630.40 = 1,673.14 : x
  2. Step 2: Convert to fraction form
    3,753.66/5,630.40 = 1,673.14/x
  3. Step 3: Cross multiply
    3,753.66x = 5,630.40 × 1,673.14
  4. Step 4: Simplify right side
    3,753.66x = 9,420,447.46
  5. Step 5: Solve for x
    x = 9,420,447.46/3,753.66
  6. Step 6: Final answer
    x = 2,509.67

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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.