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Finding the Fourth Proportional to 3,419.84, 5,134.08 and 2,910.08

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Solution

The fourth proportional to 3,419.84, 5,134.08 and 2,910.08 is: 4,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.84 : 5,134.08 = 2,910.08 : x
  2. Step 2: Convert to fraction form
    3,419.84/5,134.08 = 2,910.08/x
  3. Step 3: Cross multiply
    3,419.84x = 5,134.08 × 2,910.08
  4. Step 4: Simplify right side
    3,419.84x = 14,940,583.53
  5. Step 5: Solve for x
    x = 14,940,583.53/3,419.84
  6. Step 6: Final answer
    x = 4,368.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.