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Finding the Fourth Proportional to 4,274.50, 5,901.47 and 3,277.86

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Solution

The fourth proportional to 4,274.50, 5,901.47 and 3,277.86 is: 4,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.50 : 5,901.47 = 3,277.86 : x
  2. Step 2: Convert to fraction form
    4,274.50/5,901.47 = 3,277.86/x
  3. Step 3: Cross multiply
    4,274.50x = 5,901.47 × 3,277.86
  4. Step 4: Simplify right side
    4,274.50x = 19,344,192.45
  5. Step 5: Solve for x
    x = 19,344,192.45/4,274.50
  6. Step 6: Final answer
    x = 4,525.49

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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.