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Finding the Fourth Proportional to 5,725.33, 7,894 and 4,449.58

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Solution

The fourth proportional to 5,725.33, 7,894 and 4,449.58 is: 6,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.33 : 7,894 = 4,449.58 : x
  2. Step 2: Convert to fraction form
    5,725.33/7,894 = 4,449.58/x
  3. Step 3: Cross multiply
    5,725.33x = 7,894 × 4,449.58
  4. Step 4: Simplify right side
    5,725.33x = 35,124,984.52
  5. Step 5: Solve for x
    x = 35,124,984.52/5,725.33
  6. Step 6: Final answer
    x = 6,135.01

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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.