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Finding the Fourth Proportional to 3,897.72, 5,825.03 and 3,491.64

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Solution

The fourth proportional to 3,897.72, 5,825.03 and 3,491.64 is: 5,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.72 : 5,825.03 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    3,897.72/5,825.03 = 3,491.64/x
  3. Step 3: Cross multiply
    3,897.72x = 5,825.03 × 3,491.64
  4. Step 4: Simplify right side
    3,897.72x = 20,338,907.75
  5. Step 5: Solve for x
    x = 20,338,907.75/3,897.72
  6. Step 6: Final answer
    x = 5,218.16

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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.