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Finding the Fourth Proportional to 6,903.20, 10,354.80 and 2,285.60

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Solution

The fourth proportional to 6,903.20, 10,354.80 and 2,285.60 is: 3,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.20 : 10,354.80 = 2,285.60 : x
  2. Step 2: Convert to fraction form
    6,903.20/10,354.80 = 2,285.60/x
  3. Step 3: Cross multiply
    6,903.20x = 10,354.80 × 2,285.60
  4. Step 4: Simplify right side
    6,903.20x = 23,666,930.88
  5. Step 5: Solve for x
    x = 23,666,930.88/6,903.20
  6. Step 6: Final answer
    x = 3,428.40

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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.