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Finding the Fourth Proportional to 5,680, 8,514.56 and 2,905.60

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Solution

The fourth proportional to 5,680, 8,514.56 and 2,905.60 is: 4,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 8,514.56 = 2,905.60 : x
  2. Step 2: Convert to fraction form
    5,680/8,514.56 = 2,905.60/x
  3. Step 3: Cross multiply
    5,680x = 8,514.56 × 2,905.60
  4. Step 4: Simplify right side
    5,680x = 24,739,905.54
  5. Step 5: Solve for x
    x = 24,739,905.54/5,680
  6. Step 6: Final answer
    x = 4,355.62

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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.