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Finding the Fourth Proportional to 5,384, 8,072.04 and 2,051.66

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Solution

The fourth proportional to 5,384, 8,072.04 and 2,051.66 is: 3,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384 : 8,072.04 = 2,051.66 : x
  2. Step 2: Convert to fraction form
    5,384/8,072.04 = 2,051.66/x
  3. Step 3: Cross multiply
    5,384x = 8,072.04 × 2,051.66
  4. Step 4: Simplify right side
    5,384x = 16,561,081.59
  5. Step 5: Solve for x
    x = 16,561,081.59/5,384
  6. Step 6: Final answer
    x = 3,075.98

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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.