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Finding the Fourth Proportional to 5,546.42, 7,651.65 and 3,655.59

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Solution

The fourth proportional to 5,546.42, 7,651.65 and 3,655.59 is: 5,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.42 : 7,651.65 = 3,655.59 : x
  2. Step 2: Convert to fraction form
    5,546.42/7,651.65 = 3,655.59/x
  3. Step 3: Cross multiply
    5,546.42x = 7,651.65 × 3,655.59
  4. Step 4: Simplify right side
    5,546.42x = 27,971,295.22
  5. Step 5: Solve for x
    x = 27,971,295.22/5,546.42
  6. Step 6: Final answer
    x = 5,043.13

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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.