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Finding the Fourth Proportional to 3,416.62, 5,124.68 and 1,336.24

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Solution

The fourth proportional to 3,416.62, 5,124.68 and 1,336.24 is: 2,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.62 : 5,124.68 = 1,336.24 : x
  2. Step 2: Convert to fraction form
    3,416.62/5,124.68 = 1,336.24/x
  3. Step 3: Cross multiply
    3,416.62x = 5,124.68 × 1,336.24
  4. Step 4: Simplify right side
    3,416.62x = 6,847,802.40
  5. Step 5: Solve for x
    x = 6,847,802.40/3,416.62
  6. Step 6: Final answer
    x = 2,004.26

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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.