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Finding the Fourth Proportional to 5,164.69, 7,127.34 and 2,926.51

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Solution

The fourth proportional to 5,164.69, 7,127.34 and 2,926.51 is: 4,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.69 : 7,127.34 = 2,926.51 : x
  2. Step 2: Convert to fraction form
    5,164.69/7,127.34 = 2,926.51/x
  3. Step 3: Cross multiply
    5,164.69x = 7,127.34 × 2,926.51
  4. Step 4: Simplify right side
    5,164.69x = 20,858,231.78
  5. Step 5: Solve for x
    x = 20,858,231.78/5,164.69
  6. Step 6: Final answer
    x = 4,038.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.