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Finding the Fourth Proportional to 3,416.64, 5,125.32 and 1,469.40

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Solution

The fourth proportional to 3,416.64, 5,125.32 and 1,469.40 is: 2,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.64 : 5,125.32 = 1,469.40 : x
  2. Step 2: Convert to fraction form
    3,416.64/5,125.32 = 1,469.40/x
  3. Step 3: Cross multiply
    3,416.64x = 5,125.32 × 1,469.40
  4. Step 4: Simplify right side
    3,416.64x = 7,531,145.21
  5. Step 5: Solve for x
    x = 7,531,145.21/3,416.64
  6. Step 6: Final answer
    x = 2,204.25

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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.