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Finding the Fourth Proportional to 7,049.86, 10,574.80 and 2,889.09

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Solution

The fourth proportional to 7,049.86, 10,574.80 and 2,889.09 is: 4,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.86 : 10,574.80 = 2,889.09 : x
  2. Step 2: Convert to fraction form
    7,049.86/10,574.80 = 2,889.09/x
  3. Step 3: Cross multiply
    7,049.86x = 10,574.80 × 2,889.09
  4. Step 4: Simplify right side
    7,049.86x = 30,551,541.71
  5. Step 5: Solve for x
    x = 30,551,541.71/7,049.86
  6. Step 6: Final answer
    x = 4,333.64

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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.