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Finding the Fourth Proportional to 4,272.84, 5,897.21 and 2,480.49

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Solution

The fourth proportional to 4,272.84, 5,897.21 and 2,480.49 is: 3,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.84 : 5,897.21 = 2,480.49 : x
  2. Step 2: Convert to fraction form
    4,272.84/5,897.21 = 2,480.49/x
  3. Step 3: Cross multiply
    4,272.84x = 5,897.21 × 2,480.49
  4. Step 4: Simplify right side
    4,272.84x = 14,627,958.03
  5. Step 5: Solve for x
    x = 14,627,958.03/4,272.84
  6. Step 6: Final answer
    x = 3,423.47

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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.