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Finding the Fourth Proportional to 3,795.45, 5,692.06 and 1,455.28

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Solution

The fourth proportional to 3,795.45, 5,692.06 and 1,455.28 is: 2,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.45 : 5,692.06 = 1,455.28 : x
  2. Step 2: Convert to fraction form
    3,795.45/5,692.06 = 1,455.28/x
  3. Step 3: Cross multiply
    3,795.45x = 5,692.06 × 1,455.28
  4. Step 4: Simplify right side
    3,795.45x = 8,283,528.67
  5. Step 5: Solve for x
    x = 8,283,528.67/3,795.45
  6. Step 6: Final answer
    x = 2,182.49

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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.