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Finding the Fourth Proportional to 3,333.74, 4,598.82 and 2,546.42

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Solution

The fourth proportional to 3,333.74, 4,598.82 and 2,546.42 is: 3,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.74 : 4,598.82 = 2,546.42 : x
  2. Step 2: Convert to fraction form
    3,333.74/4,598.82 = 2,546.42/x
  3. Step 3: Cross multiply
    3,333.74x = 4,598.82 × 2,546.42
  4. Step 4: Simplify right side
    3,333.74x = 11,710,527.22
  5. Step 5: Solve for x
    x = 11,710,527.22/3,333.74
  6. Step 6: Final answer
    x = 3,512.73

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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.