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Finding the Fourth Proportional to 3,897.52, 5,796.16 and 3,774.47

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Solution

The fourth proportional to 3,897.52, 5,796.16 and 3,774.47 is: 5,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.52 : 5,796.16 = 3,774.47 : x
  2. Step 2: Convert to fraction form
    3,897.52/5,796.16 = 3,774.47/x
  3. Step 3: Cross multiply
    3,897.52x = 5,796.16 × 3,774.47
  4. Step 4: Simplify right side
    3,897.52x = 21,877,393.62
  5. Step 5: Solve for x
    x = 21,877,393.62/3,897.52
  6. Step 6: Final answer
    x = 5,613.16

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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.