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Finding the Fourth Proportional to 4,672.58, 7,009 and 2,208.56

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Solution

The fourth proportional to 4,672.58, 7,009 and 2,208.56 is: 3,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.58 : 7,009 = 2,208.56 : x
  2. Step 2: Convert to fraction form
    4,672.58/7,009 = 2,208.56/x
  3. Step 3: Cross multiply
    4,672.58x = 7,009 × 2,208.56
  4. Step 4: Simplify right side
    4,672.58x = 15,479,797.04
  5. Step 5: Solve for x
    x = 15,479,797.04/4,672.58
  6. Step 6: Final answer
    x = 3,312.90

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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.