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Finding the Fourth Proportional to 3,795.76, 5,692.50 and 2,039.68

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Solution

The fourth proportional to 3,795.76, 5,692.50 and 2,039.68 is: 3,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.76 : 5,692.50 = 2,039.68 : x
  2. Step 2: Convert to fraction form
    3,795.76/5,692.50 = 2,039.68/x
  3. Step 3: Cross multiply
    3,795.76x = 5,692.50 × 2,039.68
  4. Step 4: Simplify right side
    3,795.76x = 11,610,878.40
  5. Step 5: Solve for x
    x = 11,610,878.40/3,795.76
  6. Step 6: Final answer
    x = 3,058.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.