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Finding the Fourth Proportional to 3,416.55, 5,127.86 and 1,774.23

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Solution

The fourth proportional to 3,416.55, 5,127.86 and 1,774.23 is: 2,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.55 : 5,127.86 = 1,774.23 : x
  2. Step 2: Convert to fraction form
    3,416.55/5,127.86 = 1,774.23/x
  3. Step 3: Cross multiply
    3,416.55x = 5,127.86 × 1,774.23
  4. Step 4: Simplify right side
    3,416.55x = 9,098,003.05
  5. Step 5: Solve for x
    x = 9,098,003.05/3,416.55
  6. Step 6: Final answer
    x = 2,662.92

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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.