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Finding the Fourth Proportional to 5,348.65, 8,016.29 and 3,692.00

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Solution

The fourth proportional to 5,348.65, 8,016.29 and 3,692.00 is: 5,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.65 : 8,016.29 = 3,692.00 : x
  2. Step 2: Convert to fraction form
    5,348.65/8,016.29 = 3,692.00/x
  3. Step 3: Cross multiply
    5,348.65x = 8,016.29 × 3,692.00
  4. Step 4: Simplify right side
    5,348.65x = 29,596,131.87
  5. Step 5: Solve for x
    x = 29,596,131.87/5,348.65
  6. Step 6: Final answer
    x = 5,533.38

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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.