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Finding the Fourth Proportional to 5,227.80, 7,827.30 and 4,075.80

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Solution

The fourth proportional to 5,227.80, 7,827.30 and 4,075.80 is: 6,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.80 : 7,827.30 = 4,075.80 : x
  2. Step 2: Convert to fraction form
    5,227.80/7,827.30 = 4,075.80/x
  3. Step 3: Cross multiply
    5,227.80x = 7,827.30 × 4,075.80
  4. Step 4: Simplify right side
    5,227.80x = 31,902,509.34
  5. Step 5: Solve for x
    x = 31,902,509.34/5,227.80
  6. Step 6: Final answer
    x = 6,102.47

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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.