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Finding the Fourth Proportional to 4,676.04, 6,452.64 and 2,907

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Solution

The fourth proportional to 4,676.04, 6,452.64 and 2,907 is: 4,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.04 : 6,452.64 = 2,907 : x
  2. Step 2: Convert to fraction form
    4,676.04/6,452.64 = 2,907/x
  3. Step 3: Cross multiply
    4,676.04x = 6,452.64 × 2,907
  4. Step 4: Simplify right side
    4,676.04x = 18,757,824.48
  5. Step 5: Solve for x
    x = 18,757,824.48/4,676.04
  6. Step 6: Final answer
    x = 4,011.48

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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.