Home / 5,513.70-8,271.09-2,004

Finding the Fourth Proportional to 5,513.70, 8,271.09 and 2,004

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Solution

The fourth proportional to 5,513.70, 8,271.09 and 2,004 is: 3,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.70 : 8,271.09 = 2,004 : x
  2. Step 2: Convert to fraction form
    5,513.70/8,271.09 = 2,004/x
  3. Step 3: Cross multiply
    5,513.70x = 8,271.09 × 2,004
  4. Step 4: Simplify right side
    5,513.70x = 16,575,264.36
  5. Step 5: Solve for x
    x = 16,575,264.36/5,513.70
  6. Step 6: Final answer
    x = 3,006.20

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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.