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Finding the Fourth Proportional to 3,798.29, 5,692.88 and 2,152.58

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Solution

The fourth proportional to 3,798.29, 5,692.88 and 2,152.58 is: 3,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.29 : 5,692.88 = 2,152.58 : x
  2. Step 2: Convert to fraction form
    3,798.29/5,692.88 = 2,152.58/x
  3. Step 3: Cross multiply
    3,798.29x = 5,692.88 × 2,152.58
  4. Step 4: Simplify right side
    3,798.29x = 12,254,356.55
  5. Step 5: Solve for x
    x = 12,254,356.55/3,798.29
  6. Step 6: Final answer
    x = 3,226.28

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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.