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Finding the Fourth Proportional to 3,223.10, 4,835.02 and 914.60

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Solution

The fourth proportional to 3,223.10, 4,835.02 and 914.60 is: 1,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.10 : 4,835.02 = 914.60 : x
  2. Step 2: Convert to fraction form
    3,223.10/4,835.02 = 914.60/x
  3. Step 3: Cross multiply
    3,223.10x = 4,835.02 × 914.60
  4. Step 4: Simplify right side
    3,223.10x = 4,422,109.29
  5. Step 5: Solve for x
    x = 4,422,109.29/3,223.10
  6. Step 6: Final answer
    x = 1,372.00

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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.