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Finding the Fourth Proportional to 4,754.84, 7,130.21 and 1,635.16

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Solution

The fourth proportional to 4,754.84, 7,130.21 and 1,635.16 is: 2,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.84 : 7,130.21 = 1,635.16 : x
  2. Step 2: Convert to fraction form
    4,754.84/7,130.21 = 1,635.16/x
  3. Step 3: Cross multiply
    4,754.84x = 7,130.21 × 1,635.16
  4. Step 4: Simplify right side
    4,754.84x = 11,659,034.18
  5. Step 5: Solve for x
    x = 11,659,034.18/4,754.84
  6. Step 6: Final answer
    x = 2,452.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.