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Finding the Fourth Proportional to 3,064.66, 4,218.55 and 2,671

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Solution

The fourth proportional to 3,064.66, 4,218.55 and 2,671 is: 3,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.66 : 4,218.55 = 2,671 : x
  2. Step 2: Convert to fraction form
    3,064.66/4,218.55 = 2,671/x
  3. Step 3: Cross multiply
    3,064.66x = 4,218.55 × 2,671
  4. Step 4: Simplify right side
    3,064.66x = 11,267,747.05
  5. Step 5: Solve for x
    x = 11,267,747.05/3,064.66
  6. Step 6: Final answer
    x = 3,676.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.