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Finding the Fourth Proportional to 4,709.34, 7,055.81 and 2,511.41

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Solution

The fourth proportional to 4,709.34, 7,055.81 and 2,511.41 is: 3,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.34 : 7,055.81 = 2,511.41 : x
  2. Step 2: Convert to fraction form
    4,709.34/7,055.81 = 2,511.41/x
  3. Step 3: Cross multiply
    4,709.34x = 7,055.81 × 2,511.41
  4. Step 4: Simplify right side
    4,709.34x = 17,719,993.37
  5. Step 5: Solve for x
    x = 17,719,993.37/4,709.34
  6. Step 6: Final answer
    x = 3,762.73

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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.