Home / 5,227.59-7,842.12-1,530.09

Finding the Fourth Proportional to 5,227.59, 7,842.12 and 1,530.09

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Solution

The fourth proportional to 5,227.59, 7,842.12 and 1,530.09 is: 2,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.59 : 7,842.12 = 1,530.09 : x
  2. Step 2: Convert to fraction form
    5,227.59/7,842.12 = 1,530.09/x
  3. Step 3: Cross multiply
    5,227.59x = 7,842.12 × 1,530.09
  4. Step 4: Simplify right side
    5,227.59x = 11,999,143.65
  5. Step 5: Solve for x
    x = 11,999,143.65/5,227.59
  6. Step 6: Final answer
    x = 2,295.35

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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.