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Finding the Fourth Proportional to 3,513.69, 5,269.08 and 1,321.20

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Solution

The fourth proportional to 3,513.69, 5,269.08 and 1,321.20 is: 1,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.69 : 5,269.08 = 1,321.20 : x
  2. Step 2: Convert to fraction form
    3,513.69/5,269.08 = 1,321.20/x
  3. Step 3: Cross multiply
    3,513.69x = 5,269.08 × 1,321.20
  4. Step 4: Simplify right side
    3,513.69x = 6,961,508.50
  5. Step 5: Solve for x
    x = 6,961,508.50/3,513.69
  6. Step 6: Final answer
    x = 1,981.25

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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.