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Finding the Fourth Proportional to 4,507.47, 6,213.38 and 3,389.67

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Solution

The fourth proportional to 4,507.47, 6,213.38 and 3,389.67 is: 4,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.47 : 6,213.38 = 3,389.67 : x
  2. Step 2: Convert to fraction form
    4,507.47/6,213.38 = 3,389.67/x
  3. Step 3: Cross multiply
    4,507.47x = 6,213.38 × 3,389.67
  4. Step 4: Simplify right side
    4,507.47x = 21,061,290.84
  5. Step 5: Solve for x
    x = 21,061,290.84/4,507.47
  6. Step 6: Final answer
    x = 4,672.53

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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.