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Finding the Fourth Proportional to 5,122.51, 7,049.63 and 4,651.39

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Solution

The fourth proportional to 5,122.51, 7,049.63 and 4,651.39 is: 6,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.51 : 7,049.63 = 4,651.39 : x
  2. Step 2: Convert to fraction form
    5,122.51/7,049.63 = 4,651.39/x
  3. Step 3: Cross multiply
    5,122.51x = 7,049.63 × 4,651.39
  4. Step 4: Simplify right side
    5,122.51x = 32,790,598.93
  5. Step 5: Solve for x
    x = 32,790,598.93/5,122.51
  6. Step 6: Final answer
    x = 6,401.28

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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.