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Finding the Fourth Proportional to 3,416.94, 5,122.98 and 1,468.08

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Solution

The fourth proportional to 3,416.94, 5,122.98 and 1,468.08 is: 2,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.94 : 5,122.98 = 1,468.08 : x
  2. Step 2: Convert to fraction form
    3,416.94/5,122.98 = 1,468.08/x
  3. Step 3: Cross multiply
    3,416.94x = 5,122.98 × 1,468.08
  4. Step 4: Simplify right side
    3,416.94x = 7,520,944.48
  5. Step 5: Solve for x
    x = 7,520,944.48/3,416.94
  6. Step 6: Final answer
    x = 2,201.08

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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.