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Finding the Fourth Proportional to 4,124.90, 5,692.46 and 2,356.46

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Solution

The fourth proportional to 4,124.90, 5,692.46 and 2,356.46 is: 3,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.90 : 5,692.46 = 2,356.46 : x
  2. Step 2: Convert to fraction form
    4,124.90/5,692.46 = 2,356.46/x
  3. Step 3: Cross multiply
    4,124.90x = 5,692.46 × 2,356.46
  4. Step 4: Simplify right side
    4,124.90x = 13,414,042.51
  5. Step 5: Solve for x
    x = 13,414,042.51/4,124.90
  6. Step 6: Final answer
    x = 3,251.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.