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Finding the Fourth Proportional to 3,494.70, 5,219.06 and 3,033.90

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Solution

The fourth proportional to 3,494.70, 5,219.06 and 3,033.90 is: 4,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.70 : 5,219.06 = 3,033.90 : x
  2. Step 2: Convert to fraction form
    3,494.70/5,219.06 = 3,033.90/x
  3. Step 3: Cross multiply
    3,494.70x = 5,219.06 × 3,033.90
  4. Step 4: Simplify right side
    3,494.70x = 15,834,090.96
  5. Step 5: Solve for x
    x = 15,834,090.96/3,494.70
  6. Step 6: Final answer
    x = 4,530.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.