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Finding the Fourth Proportional to 4,520.34, 6,774.84 and 2,573.64

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Solution

The fourth proportional to 4,520.34, 6,774.84 and 2,573.64 is: 3,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.34 : 6,774.84 = 2,573.64 : x
  2. Step 2: Convert to fraction form
    4,520.34/6,774.84 = 2,573.64/x
  3. Step 3: Cross multiply
    4,520.34x = 6,774.84 × 2,573.64
  4. Step 4: Simplify right side
    4,520.34x = 17,435,999.22
  5. Step 5: Solve for x
    x = 17,435,999.22/4,520.34
  6. Step 6: Final answer
    x = 3,857.23

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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.