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Finding the Fourth Proportional to 5,410, 7,465.84 and 3,754.96

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Solution

The fourth proportional to 5,410, 7,465.84 and 3,754.96 is: 5,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410 : 7,465.84 = 3,754.96 : x
  2. Step 2: Convert to fraction form
    5,410/7,465.84 = 3,754.96/x
  3. Step 3: Cross multiply
    5,410x = 7,465.84 × 3,754.96
  4. Step 4: Simplify right side
    5,410x = 28,033,930.57
  5. Step 5: Solve for x
    x = 28,033,930.57/5,410
  6. Step 6: Final answer
    x = 5,181.87

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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.