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Finding the Fourth Proportional to 5,548.64, 7,654.96 and 3,661.20

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Solution

The fourth proportional to 5,548.64, 7,654.96 and 3,661.20 is: 5,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.64 : 7,654.96 = 3,661.20 : x
  2. Step 2: Convert to fraction form
    5,548.64/7,654.96 = 3,661.20/x
  3. Step 3: Cross multiply
    5,548.64x = 7,654.96 × 3,661.20
  4. Step 4: Simplify right side
    5,548.64x = 28,026,339.55
  5. Step 5: Solve for x
    x = 28,026,339.55/5,548.64
  6. Step 6: Final answer
    x = 5,051.03

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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.