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Finding the Fourth Proportional to 4,546.58, 6,274.86 and 2,777.81

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Solution

The fourth proportional to 4,546.58, 6,274.86 and 2,777.81 is: 3,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.58 : 6,274.86 = 2,777.81 : x
  2. Step 2: Convert to fraction form
    4,546.58/6,274.86 = 2,777.81/x
  3. Step 3: Cross multiply
    4,546.58x = 6,274.86 × 2,777.81
  4. Step 4: Simplify right side
    4,546.58x = 17,430,368.86
  5. Step 5: Solve for x
    x = 17,430,368.86/4,546.58
  6. Step 6: Final answer
    x = 3,833.73

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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.