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Finding the Fourth Proportional to 3,265, 4,897.12 and 1,073.18

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Solution

The fourth proportional to 3,265, 4,897.12 and 1,073.18 is: 1,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 4,897.12 = 1,073.18 : x
  2. Step 2: Convert to fraction form
    3,265/4,897.12 = 1,073.18/x
  3. Step 3: Cross multiply
    3,265x = 4,897.12 × 1,073.18
  4. Step 4: Simplify right side
    3,265x = 5,255,491.24
  5. Step 5: Solve for x
    x = 5,255,491.24/3,265
  6. Step 6: Final answer
    x = 1,609.65

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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.