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Finding the Fourth Proportional to 3,409.84, 5,119.08 and 2,900.08

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Solution

The fourth proportional to 3,409.84, 5,119.08 and 2,900.08 is: 4,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.84 : 5,119.08 = 2,900.08 : x
  2. Step 2: Convert to fraction form
    3,409.84/5,119.08 = 2,900.08/x
  3. Step 3: Cross multiply
    3,409.84x = 5,119.08 × 2,900.08
  4. Step 4: Simplify right side
    3,409.84x = 14,845,741.53
  5. Step 5: Solve for x
    x = 14,845,741.53/3,409.84
  6. Step 6: Final answer
    x = 4,353.79

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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.