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Finding the Fourth Proportional to 4,644.08, 6,409 and 2,654.60

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Solution

The fourth proportional to 4,644.08, 6,409 and 2,654.60 is: 3,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.08 : 6,409 = 2,654.60 : x
  2. Step 2: Convert to fraction form
    4,644.08/6,409 = 2,654.60/x
  3. Step 3: Cross multiply
    4,644.08x = 6,409 × 2,654.60
  4. Step 4: Simplify right side
    4,644.08x = 17,013,331.40
  5. Step 5: Solve for x
    x = 17,013,331.40/4,644.08
  6. Step 6: Final answer
    x = 3,663.44

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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.