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Finding the Fourth Proportional to 3,506.80, 5,267.40 and 3,384.40

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Solution

The fourth proportional to 3,506.80, 5,267.40 and 3,384.40 is: 5,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.80 : 5,267.40 = 3,384.40 : x
  2. Step 2: Convert to fraction form
    3,506.80/5,267.40 = 3,384.40/x
  3. Step 3: Cross multiply
    3,506.80x = 5,267.40 × 3,384.40
  4. Step 4: Simplify right side
    3,506.80x = 17,826,988.56
  5. Step 5: Solve for x
    x = 17,826,988.56/3,506.80
  6. Step 6: Final answer
    x = 5,083.55

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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.