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Finding the Fourth Proportional to 5,692.65, 8,525.85 and 5,495.64

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Solution

The fourth proportional to 5,692.65, 8,525.85 and 5,495.64 is: 8,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.65 : 8,525.85 = 5,495.64 : x
  2. Step 2: Convert to fraction form
    5,692.65/8,525.85 = 5,495.64/x
  3. Step 3: Cross multiply
    5,692.65x = 8,525.85 × 5,495.64
  4. Step 4: Simplify right side
    5,692.65x = 46,855,002.29
  5. Step 5: Solve for x
    x = 46,855,002.29/5,692.65
  6. Step 6: Final answer
    x = 8,230.79

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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.