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Finding the Fourth Proportional to 5,325.24, 7,992.90 and 2,730

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Solution

The fourth proportional to 5,325.24, 7,992.90 and 2,730 is: 4,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.24 : 7,992.90 = 2,730 : x
  2. Step 2: Convert to fraction form
    5,325.24/7,992.90 = 2,730/x
  3. Step 3: Cross multiply
    5,325.24x = 7,992.90 × 2,730
  4. Step 4: Simplify right side
    5,325.24x = 21,820,617
  5. Step 5: Solve for x
    x = 21,820,617/5,325.24
  6. Step 6: Final answer
    x = 4,097.58

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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.