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Finding the Fourth Proportional to 6,441.24, 8,888.52 and 3,609

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Solution

The fourth proportional to 6,441.24, 8,888.52 and 3,609 is: 4,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.24 : 8,888.52 = 3,609 : x
  2. Step 2: Convert to fraction form
    6,441.24/8,888.52 = 3,609/x
  3. Step 3: Cross multiply
    6,441.24x = 8,888.52 × 3,609
  4. Step 4: Simplify right side
    6,441.24x = 32,078,668.68
  5. Step 5: Solve for x
    x = 32,078,668.68/6,441.24
  6. Step 6: Final answer
    x = 4,980.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.