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Finding the Fourth Proportional to 5,195.30, 7,784.40 and 3,000.20

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Solution

The fourth proportional to 5,195.30, 7,784.40 and 3,000.20 is: 4,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.30 : 7,784.40 = 3,000.20 : x
  2. Step 2: Convert to fraction form
    5,195.30/7,784.40 = 3,000.20/x
  3. Step 3: Cross multiply
    5,195.30x = 7,784.40 × 3,000.20
  4. Step 4: Simplify right side
    5,195.30x = 23,354,756.88
  5. Step 5: Solve for x
    x = 23,354,756.88/5,195.30
  6. Step 6: Final answer
    x = 4,495.36

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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.