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Finding the Fourth Proportional to 4,654.96, 6,420 and 3,160.44

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Solution

The fourth proportional to 4,654.96, 6,420 and 3,160.44 is: 4,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.96 : 6,420 = 3,160.44 : x
  2. Step 2: Convert to fraction form
    4,654.96/6,420 = 3,160.44/x
  3. Step 3: Cross multiply
    4,654.96x = 6,420 × 3,160.44
  4. Step 4: Simplify right side
    4,654.96x = 20,290,024.80
  5. Step 5: Solve for x
    x = 20,290,024.80/4,654.96
  6. Step 6: Final answer
    x = 4,358.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.