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Finding the Fourth Proportional to 4,544.74, 6,815.31 and 1,771.03

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Solution

The fourth proportional to 4,544.74, 6,815.31 and 1,771.03 is: 2,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.74 : 6,815.31 = 1,771.03 : x
  2. Step 2: Convert to fraction form
    4,544.74/6,815.31 = 1,771.03/x
  3. Step 3: Cross multiply
    4,544.74x = 6,815.31 × 1,771.03
  4. Step 4: Simplify right side
    4,544.74x = 12,070,120.35
  5. Step 5: Solve for x
    x = 12,070,120.35/4,544.74
  6. Step 6: Final answer
    x = 2,655.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.