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Finding the Fourth Proportional to 5,431.92, 7,496.04 and 3,074.20

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Solution

The fourth proportional to 5,431.92, 7,496.04 and 3,074.20 is: 4,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.92 : 7,496.04 = 3,074.20 : x
  2. Step 2: Convert to fraction form
    5,431.92/7,496.04 = 3,074.20/x
  3. Step 3: Cross multiply
    5,431.92x = 7,496.04 × 3,074.20
  4. Step 4: Simplify right side
    5,431.92x = 23,044,326.17
  5. Step 5: Solve for x
    x = 23,044,326.17/5,431.92
  6. Step 6: Final answer
    x = 4,242.39

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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.