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Finding the Fourth Proportional to 5,155.50, 7,734.57 and 1,692.78

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Solution

The fourth proportional to 5,155.50, 7,734.57 and 1,692.78 is: 2,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.50 : 7,734.57 = 1,692.78 : x
  2. Step 2: Convert to fraction form
    5,155.50/7,734.57 = 1,692.78/x
  3. Step 3: Cross multiply
    5,155.50x = 7,734.57 × 1,692.78
  4. Step 4: Simplify right side
    5,155.50x = 13,092,925.40
  5. Step 5: Solve for x
    x = 13,092,925.40/5,155.50
  6. Step 6: Final answer
    x = 2,539.60

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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.