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Finding the Fourth Proportional to 3,890.84, 5,837.00 and 2,134.88

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Solution

The fourth proportional to 3,890.84, 5,837.00 and 2,134.88 is: 3,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.84 : 5,837.00 = 2,134.88 : x
  2. Step 2: Convert to fraction form
    3,890.84/5,837.00 = 2,134.88/x
  3. Step 3: Cross multiply
    3,890.84x = 5,837.00 × 2,134.88
  4. Step 4: Simplify right side
    3,890.84x = 12,461,254.70
  5. Step 5: Solve for x
    x = 12,461,254.70/3,890.84
  6. Step 6: Final answer
    x = 3,202.72

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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.