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Finding the Fourth Proportional to 3,692.86, 5,096.16 and 2,014.24

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Solution

The fourth proportional to 3,692.86, 5,096.16 and 2,014.24 is: 2,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.86 : 5,096.16 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    3,692.86/5,096.16 = 2,014.24/x
  3. Step 3: Cross multiply
    3,692.86x = 5,096.16 × 2,014.24
  4. Step 4: Simplify right side
    3,692.86x = 10,264,889.32
  5. Step 5: Solve for x
    x = 10,264,889.32/3,692.86
  6. Step 6: Final answer
    x = 2,779.66

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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.