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Finding the Fourth Proportional to 3,953.46, 5,899.49 and 3,428.58

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Solution

The fourth proportional to 3,953.46, 5,899.49 and 3,428.58 is: 5,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.46 : 5,899.49 = 3,428.58 : x
  2. Step 2: Convert to fraction form
    3,953.46/5,899.49 = 3,428.58/x
  3. Step 3: Cross multiply
    3,953.46x = 5,899.49 × 3,428.58
  4. Step 4: Simplify right side
    3,953.46x = 20,226,882.00
  5. Step 5: Solve for x
    x = 20,226,882.00/3,953.46
  6. Step 6: Final answer
    x = 5,116.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.