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Finding the Fourth Proportional to 3,465.57, 5,200.92 and 1,384.51

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Solution

The fourth proportional to 3,465.57, 5,200.92 and 1,384.51 is: 2,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.57 : 5,200.92 = 1,384.51 : x
  2. Step 2: Convert to fraction form
    3,465.57/5,200.92 = 1,384.51/x
  3. Step 3: Cross multiply
    3,465.57x = 5,200.92 × 1,384.51
  4. Step 4: Simplify right side
    3,465.57x = 7,200,725.75
  5. Step 5: Solve for x
    x = 7,200,725.75/3,465.57
  6. Step 6: Final answer
    x = 2,077.79

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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.