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Finding the Fourth Proportional to 5,891.84, 8,835.50 and 2,380.62

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Solution

The fourth proportional to 5,891.84, 8,835.50 and 2,380.62 is: 3,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.84 : 8,835.50 = 2,380.62 : x
  2. Step 2: Convert to fraction form
    5,891.84/8,835.50 = 2,380.62/x
  3. Step 3: Cross multiply
    5,891.84x = 8,835.50 × 2,380.62
  4. Step 4: Simplify right side
    5,891.84x = 21,033,956.11
  5. Step 5: Solve for x
    x = 21,033,956.11/5,891.84
  6. Step 6: Final answer
    x = 3,570.02

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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.