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Finding the Fourth Proportional to 5,089.41, 7,021.22 and 2,964.78

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Solution

The fourth proportional to 5,089.41, 7,021.22 and 2,964.78 is: 4,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.41 : 7,021.22 = 2,964.78 : x
  2. Step 2: Convert to fraction form
    5,089.41/7,021.22 = 2,964.78/x
  3. Step 3: Cross multiply
    5,089.41x = 7,021.22 × 2,964.78
  4. Step 4: Simplify right side
    5,089.41x = 20,816,357.81
  5. Step 5: Solve for x
    x = 20,816,357.81/5,089.41
  6. Step 6: Final answer
    x = 4,090.13

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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.