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Finding the Fourth Proportional to 5,089.29, 7,023.02 and 2,964.89

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Solution

The fourth proportional to 5,089.29, 7,023.02 and 2,964.89 is: 4,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.29 : 7,023.02 = 2,964.89 : x
  2. Step 2: Convert to fraction form
    5,089.29/7,023.02 = 2,964.89/x
  3. Step 3: Cross multiply
    5,089.29x = 7,023.02 × 2,964.89
  4. Step 4: Simplify right side
    5,089.29x = 20,822,431.83
  5. Step 5: Solve for x
    x = 20,822,431.83/5,089.29
  6. Step 6: Final answer
    x = 4,091.42

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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.