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Finding the Fourth Proportional to 4,546.63, 6,274.41 and 2,777.86

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Solution

The fourth proportional to 4,546.63, 6,274.41 and 2,777.86 is: 3,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.63 : 6,274.41 = 2,777.86 : x
  2. Step 2: Convert to fraction form
    4,546.63/6,274.41 = 2,777.86/x
  3. Step 3: Cross multiply
    4,546.63x = 6,274.41 × 2,777.86
  4. Step 4: Simplify right side
    4,546.63x = 17,429,401.19
  5. Step 5: Solve for x
    x = 17,429,401.19/4,546.63
  6. Step 6: Final answer
    x = 3,833.48

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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.