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Finding the Fourth Proportional to 3,692.16, 5,539.29 and 1,502.46

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Solution

The fourth proportional to 3,692.16, 5,539.29 and 1,502.46 is: 2,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.16 : 5,539.29 = 1,502.46 : x
  2. Step 2: Convert to fraction form
    3,692.16/5,539.29 = 1,502.46/x
  3. Step 3: Cross multiply
    3,692.16x = 5,539.29 × 1,502.46
  4. Step 4: Simplify right side
    3,692.16x = 8,322,575.50
  5. Step 5: Solve for x
    x = 8,322,575.50/3,692.16
  6. Step 6: Final answer
    x = 2,254.12

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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.