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Finding the Fourth Proportional to 3,615.36, 5,426.12 and 1,425.64

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Solution

The fourth proportional to 3,615.36, 5,426.12 and 1,425.64 is: 2,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.36 : 5,426.12 = 1,425.64 : x
  2. Step 2: Convert to fraction form
    3,615.36/5,426.12 = 1,425.64/x
  3. Step 3: Cross multiply
    3,615.36x = 5,426.12 × 1,425.64
  4. Step 4: Simplify right side
    3,615.36x = 7,735,693.72
  5. Step 5: Solve for x
    x = 7,735,693.72/3,615.36
  6. Step 6: Final answer
    x = 2,139.67

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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.