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Finding the Fourth Proportional to 5,548.05, 7,657.59 and 3,659.97

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Solution

The fourth proportional to 5,548.05, 7,657.59 and 3,659.97 is: 5,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.05 : 7,657.59 = 3,659.97 : x
  2. Step 2: Convert to fraction form
    5,548.05/7,657.59 = 3,659.97/x
  3. Step 3: Cross multiply
    5,548.05x = 7,657.59 × 3,659.97
  4. Step 4: Simplify right side
    5,548.05x = 28,026,549.67
  5. Step 5: Solve for x
    x = 28,026,549.67/5,548.05
  6. Step 6: Final answer
    x = 5,051.60

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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.