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Finding the Fourth Proportional to 5,401.88, 7,455.02 and 3,012.62

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Solution

The fourth proportional to 5,401.88, 7,455.02 and 3,012.62 is: 4,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.88 : 7,455.02 = 3,012.62 : x
  2. Step 2: Convert to fraction form
    5,401.88/7,455.02 = 3,012.62/x
  3. Step 3: Cross multiply
    5,401.88x = 7,455.02 × 3,012.62
  4. Step 4: Simplify right side
    5,401.88x = 22,459,145.93
  5. Step 5: Solve for x
    x = 22,459,145.93/5,401.88
  6. Step 6: Final answer
    x = 4,157.66

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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.