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Finding the Fourth Proportional to 4,676.34, 7,012.53 and 2,077.50

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Solution

The fourth proportional to 4,676.34, 7,012.53 and 2,077.50 is: 3,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.34 : 7,012.53 = 2,077.50 : x
  2. Step 2: Convert to fraction form
    4,676.34/7,012.53 = 2,077.50/x
  3. Step 3: Cross multiply
    4,676.34x = 7,012.53 × 2,077.50
  4. Step 4: Simplify right side
    4,676.34x = 14,568,531.08
  5. Step 5: Solve for x
    x = 14,568,531.08/4,676.34
  6. Step 6: Final answer
    x = 3,115.37

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Why These Related Problems?

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