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Finding the Fourth Proportional to 4,076.34, 6,109.80 and 1,732.88

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Solution

The fourth proportional to 4,076.34, 6,109.80 and 1,732.88 is: 2,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.34 : 6,109.80 = 1,732.88 : x
  2. Step 2: Convert to fraction form
    4,076.34/6,109.80 = 1,732.88/x
  3. Step 3: Cross multiply
    4,076.34x = 6,109.80 × 1,732.88
  4. Step 4: Simplify right side
    4,076.34x = 10,587,550.22
  5. Step 5: Solve for x
    x = 10,587,550.22/4,076.34
  6. Step 6: Final answer
    x = 2,597.32

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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.