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Finding the Fourth Proportional to 5,406, 7,460.28 and 3,750.96

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Solution

The fourth proportional to 5,406, 7,460.28 and 3,750.96 is: 5,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 7,460.28 = 3,750.96 : x
  2. Step 2: Convert to fraction form
    5,406/7,460.28 = 3,750.96/x
  3. Step 3: Cross multiply
    5,406x = 7,460.28 × 3,750.96
  4. Step 4: Simplify right side
    5,406x = 27,983,211.87
  5. Step 5: Solve for x
    x = 27,983,211.87/5,406
  6. Step 6: Final answer
    x = 5,176.32

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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.