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Finding the Fourth Proportional to 5,725.93, 7,897.36 and 3,836.91

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Solution

The fourth proportional to 5,725.93, 7,897.36 and 3,836.91 is: 5,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.93 : 7,897.36 = 3,836.91 : x
  2. Step 2: Convert to fraction form
    5,725.93/7,897.36 = 3,836.91/x
  3. Step 3: Cross multiply
    5,725.93x = 7,897.36 × 3,836.91
  4. Step 4: Simplify right side
    5,725.93x = 30,301,459.56
  5. Step 5: Solve for x
    x = 30,301,459.56/5,725.93
  6. Step 6: Final answer
    x = 5,291.97

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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.