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Finding the Fourth Proportional to 3,539.84, 5,309.57 and 942.77

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Solution

The fourth proportional to 3,539.84, 5,309.57 and 942.77 is: 1,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.84 : 5,309.57 = 942.77 : x
  2. Step 2: Convert to fraction form
    3,539.84/5,309.57 = 942.77/x
  3. Step 3: Cross multiply
    3,539.84x = 5,309.57 × 942.77
  4. Step 4: Simplify right side
    3,539.84x = 5,005,718.94
  5. Step 5: Solve for x
    x = 5,005,718.94/3,539.84
  6. Step 6: Final answer
    x = 1,414.11

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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.