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Finding the Fourth Proportional to 4,326.24, 6,489.36 and 1,404.84

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Solution

The fourth proportional to 4,326.24, 6,489.36 and 1,404.84 is: 2,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.24 : 6,489.36 = 1,404.84 : x
  2. Step 2: Convert to fraction form
    4,326.24/6,489.36 = 1,404.84/x
  3. Step 3: Cross multiply
    4,326.24x = 6,489.36 × 1,404.84
  4. Step 4: Simplify right side
    4,326.24x = 9,116,512.50
  5. Step 5: Solve for x
    x = 9,116,512.50/4,326.24
  6. Step 6: Final answer
    x = 2,107.26

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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.