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Finding the Fourth Proportional to 3,619.50, 5,429.25 and 1,311

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Solution

The fourth proportional to 3,619.50, 5,429.25 and 1,311 is: 1,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.50 : 5,429.25 = 1,311 : x
  2. Step 2: Convert to fraction form
    3,619.50/5,429.25 = 1,311/x
  3. Step 3: Cross multiply
    3,619.50x = 5,429.25 × 1,311
  4. Step 4: Simplify right side
    3,619.50x = 7,117,746.75
  5. Step 5: Solve for x
    x = 7,117,746.75/3,619.50
  6. Step 6: Final answer
    x = 1,966.50

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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.