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Finding the Fourth Proportional to 4,124.86, 5,692.62 and 2,356.54

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Solution

The fourth proportional to 4,124.86, 5,692.62 and 2,356.54 is: 3,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.86 : 5,692.62 = 2,356.54 : x
  2. Step 2: Convert to fraction form
    4,124.86/5,692.62 = 2,356.54/x
  3. Step 3: Cross multiply
    4,124.86x = 5,692.62 × 2,356.54
  4. Step 4: Simplify right side
    4,124.86x = 13,414,886.73
  5. Step 5: Solve for x
    x = 13,414,886.73/4,124.86
  6. Step 6: Final answer
    x = 3,252.20

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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.