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Finding the Fourth Proportional to 3,692.80, 5,096 and 2,014.16

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Solution

The fourth proportional to 3,692.80, 5,096 and 2,014.16 is: 2,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.80 : 5,096 = 2,014.16 : x
  2. Step 2: Convert to fraction form
    3,692.80/5,096 = 2,014.16/x
  3. Step 3: Cross multiply
    3,692.80x = 5,096 × 2,014.16
  4. Step 4: Simplify right side
    3,692.80x = 10,264,159.36
  5. Step 5: Solve for x
    x = 10,264,159.36/3,692.80
  6. Step 6: Final answer
    x = 2,779.51

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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.