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Finding the Fourth Proportional to 4,509.54, 6,762.09 and 2,732.46

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Solution

The fourth proportional to 4,509.54, 6,762.09 and 2,732.46 is: 4,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.54 : 6,762.09 = 2,732.46 : x
  2. Step 2: Convert to fraction form
    4,509.54/6,762.09 = 2,732.46/x
  3. Step 3: Cross multiply
    4,509.54x = 6,762.09 × 2,732.46
  4. Step 4: Simplify right side
    4,509.54x = 18,477,140.44
  5. Step 5: Solve for x
    x = 18,477,140.44/4,509.54
  6. Step 6: Final answer
    x = 4,097.34

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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.