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Finding the Fourth Proportional to 4,502, 6,213.48 and 2,639

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Solution

The fourth proportional to 4,502, 6,213.48 and 2,639 is: 3,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502 : 6,213.48 = 2,639 : x
  2. Step 2: Convert to fraction form
    4,502/6,213.48 = 2,639/x
  3. Step 3: Cross multiply
    4,502x = 6,213.48 × 2,639
  4. Step 4: Simplify right side
    4,502x = 16,397,373.72
  5. Step 5: Solve for x
    x = 16,397,373.72/4,502
  6. Step 6: Final answer
    x = 3,642.24

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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.