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Finding the Fourth Proportional to 3,756.34, 5,628.72 and 1,805.86

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Solution

The fourth proportional to 3,756.34, 5,628.72 and 1,805.86 is: 2,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.34 : 5,628.72 = 1,805.86 : x
  2. Step 2: Convert to fraction form
    3,756.34/5,628.72 = 1,805.86/x
  3. Step 3: Cross multiply
    3,756.34x = 5,628.72 × 1,805.86
  4. Step 4: Simplify right side
    3,756.34x = 10,164,680.30
  5. Step 5: Solve for x
    x = 10,164,680.30/3,756.34
  6. Step 6: Final answer
    x = 2,706.01

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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.