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Finding the Fourth Proportional to 3,692.84, 5,085.24 and 3,299.72

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Solution

The fourth proportional to 3,692.84, 5,085.24 and 3,299.72 is: 4,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.84 : 5,085.24 = 3,299.72 : x
  2. Step 2: Convert to fraction form
    3,692.84/5,085.24 = 3,299.72/x
  3. Step 3: Cross multiply
    3,692.84x = 5,085.24 × 3,299.72
  4. Step 4: Simplify right side
    3,692.84x = 16,779,868.13
  5. Step 5: Solve for x
    x = 16,779,868.13/3,692.84
  6. Step 6: Final answer
    x = 4,543.89

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1.5x scale

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.