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Finding the Fourth Proportional to 3,856.02, 5,783.97 and 1,223.52

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Solution

The fourth proportional to 3,856.02, 5,783.97 and 1,223.52 is: 1,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.02 : 5,783.97 = 1,223.52 : x
  2. Step 2: Convert to fraction form
    3,856.02/5,783.97 = 1,223.52/x
  3. Step 3: Cross multiply
    3,856.02x = 5,783.97 × 1,223.52
  4. Step 4: Simplify right side
    3,856.02x = 7,076,802.97
  5. Step 5: Solve for x
    x = 7,076,802.97/3,856.02
  6. Step 6: Final answer
    x = 1,835.26

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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.