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Finding the Fourth Proportional to 4,074.52, 6,109.08 and 1,732

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Solution

The fourth proportional to 4,074.52, 6,109.08 and 1,732 is: 2,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.52 : 6,109.08 = 1,732 : x
  2. Step 2: Convert to fraction form
    4,074.52/6,109.08 = 1,732/x
  3. Step 3: Cross multiply
    4,074.52x = 6,109.08 × 1,732
  4. Step 4: Simplify right side
    4,074.52x = 10,580,926.56
  5. Step 5: Solve for x
    x = 10,580,926.56/4,074.52
  6. Step 6: Final answer
    x = 2,596.85

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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.