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Finding the Fourth Proportional to 3,736.40, 5,606.04 and 1,428.08

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Solution

The fourth proportional to 3,736.40, 5,606.04 and 1,428.08 is: 2,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.40 : 5,606.04 = 1,428.08 : x
  2. Step 2: Convert to fraction form
    3,736.40/5,606.04 = 1,428.08/x
  3. Step 3: Cross multiply
    3,736.40x = 5,606.04 × 1,428.08
  4. Step 4: Simplify right side
    3,736.40x = 8,005,873.60
  5. Step 5: Solve for x
    x = 8,005,873.60/3,736.40
  6. Step 6: Final answer
    x = 2,142.67

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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.