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Finding the Fourth Proportional to 6,692.65, 9,235.94 and 3,708.52

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Solution

The fourth proportional to 6,692.65, 9,235.94 and 3,708.52 is: 5,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.65 : 9,235.94 = 3,708.52 : x
  2. Step 2: Convert to fraction form
    6,692.65/9,235.94 = 3,708.52/x
  3. Step 3: Cross multiply
    6,692.65x = 9,235.94 × 3,708.52
  4. Step 4: Simplify right side
    6,692.65x = 34,251,649.67
  5. Step 5: Solve for x
    x = 34,251,649.67/6,692.65
  6. Step 6: Final answer
    x = 5,117.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.