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Finding the Fourth Proportional to 4,873.25, 7,311.41 and 2,683.50

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Solution

The fourth proportional to 4,873.25, 7,311.41 and 2,683.50 is: 4,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.25 : 7,311.41 = 2,683.50 : x
  2. Step 2: Convert to fraction form
    4,873.25/7,311.41 = 2,683.50/x
  3. Step 3: Cross multiply
    4,873.25x = 7,311.41 × 2,683.50
  4. Step 4: Simplify right side
    4,873.25x = 19,620,155.32
  5. Step 5: Solve for x
    x = 19,620,155.32/4,873.25
  6. Step 6: Final answer
    x = 4,026.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.