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Finding the Fourth Proportional to 5,128.71, 7,695.09 and 2,665.08

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Solution

The fourth proportional to 5,128.71, 7,695.09 and 2,665.08 is: 3,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.71 : 7,695.09 = 2,665.08 : x
  2. Step 2: Convert to fraction form
    5,128.71/7,695.09 = 2,665.08/x
  3. Step 3: Cross multiply
    5,128.71x = 7,695.09 × 2,665.08
  4. Step 4: Simplify right side
    5,128.71x = 20,508,030.46
  5. Step 5: Solve for x
    x = 20,508,030.46/5,128.71
  6. Step 6: Final answer
    x = 3,998.67

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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.