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Finding the Fourth Proportional to 5,549.64, 7,656.34 and 3,662.20

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Solution

The fourth proportional to 5,549.64, 7,656.34 and 3,662.20 is: 5,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.64 : 7,656.34 = 3,662.20 : x
  2. Step 2: Convert to fraction form
    5,549.64/7,656.34 = 3,662.20/x
  3. Step 3: Cross multiply
    5,549.64x = 7,656.34 × 3,662.20
  4. Step 4: Simplify right side
    5,549.64x = 28,039,048.35
  5. Step 5: Solve for x
    x = 28,039,048.35/5,549.64
  6. Step 6: Final answer
    x = 5,052.41

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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.