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Finding the Fourth Proportional to 3,840.77, 5,762.06 and 1,243.70

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Solution

The fourth proportional to 3,840.77, 5,762.06 and 1,243.70 is: 1,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.77 : 5,762.06 = 1,243.70 : x
  2. Step 2: Convert to fraction form
    3,840.77/5,762.06 = 1,243.70/x
  3. Step 3: Cross multiply
    3,840.77x = 5,762.06 × 1,243.70
  4. Step 4: Simplify right side
    3,840.77x = 7,166,274.02
  5. Step 5: Solve for x
    x = 7,166,274.02/3,840.77
  6. Step 6: Final answer
    x = 1,865.84

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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.