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Finding the Fourth Proportional to 4,676.16, 6,425.64 and 3,743.04

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Solution

The fourth proportional to 4,676.16, 6,425.64 and 3,743.04 is: 5,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.16 : 6,425.64 = 3,743.04 : x
  2. Step 2: Convert to fraction form
    4,676.16/6,425.64 = 3,743.04/x
  3. Step 3: Cross multiply
    4,676.16x = 6,425.64 × 3,743.04
  4. Step 4: Simplify right side
    4,676.16x = 24,051,427.55
  5. Step 5: Solve for x
    x = 24,051,427.55/4,676.16
  6. Step 6: Final answer
    x = 5,143.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.