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Finding the Fourth Proportional to 4,725.88, 7,090.08 and 4,209.43

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Solution

The fourth proportional to 4,725.88, 7,090.08 and 4,209.43 is: 6,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.88 : 7,090.08 = 4,209.43 : x
  2. Step 2: Convert to fraction form
    4,725.88/7,090.08 = 4,209.43/x
  3. Step 3: Cross multiply
    4,725.88x = 7,090.08 × 4,209.43
  4. Step 4: Simplify right side
    4,725.88x = 29,845,195.45
  5. Step 5: Solve for x
    x = 29,845,195.45/4,725.88
  6. Step 6: Final answer
    x = 6,315.27

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1.5x scale

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.