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Finding the Fourth Proportional to 3,591.50, 5,386.05 and 1,511.11

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Solution

The fourth proportional to 3,591.50, 5,386.05 and 1,511.11 is: 2,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.50 : 5,386.05 = 1,511.11 : x
  2. Step 2: Convert to fraction form
    3,591.50/5,386.05 = 1,511.11/x
  3. Step 3: Cross multiply
    3,591.50x = 5,386.05 × 1,511.11
  4. Step 4: Simplify right side
    3,591.50x = 8,138,914.02
  5. Step 5: Solve for x
    x = 8,138,914.02/3,591.50
  6. Step 6: Final answer
    x = 2,266.16

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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.