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Finding the Fourth Proportional to 4,285.44, 6,432.48 and 4,003.20

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Solution

The fourth proportional to 4,285.44, 6,432.48 and 4,003.20 is: 6,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.44 : 6,432.48 = 4,003.20 : x
  2. Step 2: Convert to fraction form
    4,285.44/6,432.48 = 4,003.20/x
  3. Step 3: Cross multiply
    4,285.44x = 6,432.48 × 4,003.20
  4. Step 4: Simplify right side
    4,285.44x = 25,750,503.94
  5. Step 5: Solve for x
    x = 25,750,503.94/4,285.44
  6. Step 6: Final answer
    x = 6,008.84

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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.