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Finding the Fourth Proportional to 3,855.42, 5,784.42 and 1,223.35

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Solution

The fourth proportional to 3,855.42, 5,784.42 and 1,223.35 is: 1,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.42 : 5,784.42 = 1,223.35 : x
  2. Step 2: Convert to fraction form
    3,855.42/5,784.42 = 1,223.35/x
  3. Step 3: Cross multiply
    3,855.42x = 5,784.42 × 1,223.35
  4. Step 4: Simplify right side
    3,855.42x = 7,076,370.21
  5. Step 5: Solve for x
    x = 7,076,370.21/3,855.42
  6. Step 6: Final answer
    x = 1,835.44

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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.