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Finding the Fourth Proportional to 3,180.42, 4,767.21 and 3,145.86

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Solution

The fourth proportional to 3,180.42, 4,767.21 and 3,145.86 is: 4,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.42 : 4,767.21 = 3,145.86 : x
  2. Step 2: Convert to fraction form
    3,180.42/4,767.21 = 3,145.86/x
  3. Step 3: Cross multiply
    3,180.42x = 4,767.21 × 3,145.86
  4. Step 4: Simplify right side
    3,180.42x = 14,996,975.25
  5. Step 5: Solve for x
    x = 14,996,975.25/3,180.42
  6. Step 6: Final answer
    x = 4,715.41

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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.