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Finding the Fourth Proportional to 3,416.72, 5,123.46 and 1,771.62

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Solution

The fourth proportional to 3,416.72, 5,123.46 and 1,771.62 is: 2,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.72 : 5,123.46 = 1,771.62 : x
  2. Step 2: Convert to fraction form
    3,416.72/5,123.46 = 1,771.62/x
  3. Step 3: Cross multiply
    3,416.72x = 5,123.46 × 1,771.62
  4. Step 4: Simplify right side
    3,416.72x = 9,076,824.21
  5. Step 5: Solve for x
    x = 9,076,824.21/3,416.72
  6. Step 6: Final answer
    x = 2,656.59

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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.