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Finding the Fourth Proportional to 5,808, 8,715.84 and 2,730.24

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Solution

The fourth proportional to 5,808, 8,715.84 and 2,730.24 is: 4,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808 : 8,715.84 = 2,730.24 : x
  2. Step 2: Convert to fraction form
    5,808/8,715.84 = 2,730.24/x
  3. Step 3: Cross multiply
    5,808x = 8,715.84 × 2,730.24
  4. Step 4: Simplify right side
    5,808x = 23,796,335.00
  5. Step 5: Solve for x
    x = 23,796,335.00/5,808
  6. Step 6: Final answer
    x = 4,097.17

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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.