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Finding the Fourth Proportional to 4,283.52, 5,897.28 and 3,661.44

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Solution

The fourth proportional to 4,283.52, 5,897.28 and 3,661.44 is: 5,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.52 : 5,897.28 = 3,661.44 : x
  2. Step 2: Convert to fraction form
    4,283.52/5,897.28 = 3,661.44/x
  3. Step 3: Cross multiply
    4,283.52x = 5,897.28 × 3,661.44
  4. Step 4: Simplify right side
    4,283.52x = 21,592,536.88
  5. Step 5: Solve for x
    x = 21,592,536.88/4,283.52
  6. Step 6: Final answer
    x = 5,040.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.