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Finding the Fourth Proportional to 3,416.84, 5,127.25 and 1,336.74

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Solution

The fourth proportional to 3,416.84, 5,127.25 and 1,336.74 is: 2,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.84 : 5,127.25 = 1,336.74 : x
  2. Step 2: Convert to fraction form
    3,416.84/5,127.25 = 1,336.74/x
  3. Step 3: Cross multiply
    3,416.84x = 5,127.25 × 1,336.74
  4. Step 4: Simplify right side
    3,416.84x = 6,853,800.17
  5. Step 5: Solve for x
    x = 6,853,800.17/3,416.84
  6. Step 6: Final answer
    x = 2,005.89

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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.