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Finding the Fourth Proportional to 4,673.72, 7,014.06 and 2,209.30

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Solution

The fourth proportional to 4,673.72, 7,014.06 and 2,209.30 is: 3,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.72 : 7,014.06 = 2,209.30 : x
  2. Step 2: Convert to fraction form
    4,673.72/7,014.06 = 2,209.30/x
  3. Step 3: Cross multiply
    4,673.72x = 7,014.06 × 2,209.30
  4. Step 4: Simplify right side
    4,673.72x = 15,496,145.22
  5. Step 5: Solve for x
    x = 15,496,145.22/4,673.72
  6. Step 6: Final answer
    x = 3,315.59

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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.