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Finding the Fourth Proportional to 3,706.00, 5,113.46 and 2,213.69

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Solution

The fourth proportional to 3,706.00, 5,113.46 and 2,213.69 is: 3,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.00 : 5,113.46 = 2,213.69 : x
  2. Step 2: Convert to fraction form
    3,706.00/5,113.46 = 2,213.69/x
  3. Step 3: Cross multiply
    3,706.00x = 5,113.46 × 2,213.69
  4. Step 4: Simplify right side
    3,706.00x = 11,319,595.23
  5. Step 5: Solve for x
    x = 11,319,595.23/3,706.00
  6. Step 6: Final answer
    x = 3,054.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.