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Finding the Fourth Proportional to 5,511.72, 8,266.86 and 2,433

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Solution

The fourth proportional to 5,511.72, 8,266.86 and 2,433 is: 3,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.72 : 8,266.86 = 2,433 : x
  2. Step 2: Convert to fraction form
    5,511.72/8,266.86 = 2,433/x
  3. Step 3: Cross multiply
    5,511.72x = 8,266.86 × 2,433
  4. Step 4: Simplify right side
    5,511.72x = 20,113,270.38
  5. Step 5: Solve for x
    x = 20,113,270.38/5,511.72
  6. Step 6: Final answer
    x = 3,649.18

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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.