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Finding the Fourth Proportional to 5,156.06, 7,734.95 and 1,692.50

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Solution

The fourth proportional to 5,156.06, 7,734.95 and 1,692.50 is: 2,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.06 : 7,734.95 = 1,692.50 : x
  2. Step 2: Convert to fraction form
    5,156.06/7,734.95 = 1,692.50/x
  3. Step 3: Cross multiply
    5,156.06x = 7,734.95 × 1,692.50
  4. Step 4: Simplify right side
    5,156.06x = 13,091,394.41
  5. Step 5: Solve for x
    x = 13,091,394.41/5,156.06
  6. Step 6: Final answer
    x = 2,539.03

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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.