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Finding the Fourth Proportional to 3,980.64, 5,495.28 and 2,656.48

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Solution

The fourth proportional to 3,980.64, 5,495.28 and 2,656.48 is: 3,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,495.28 = 2,656.48 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,495.28 = 2,656.48/x
  3. Step 3: Cross multiply
    3,980.64x = 5,495.28 × 2,656.48
  4. Step 4: Simplify right side
    3,980.64x = 14,598,101.41
  5. Step 5: Solve for x
    x = 14,598,101.41/3,980.64
  6. Step 6: Final answer
    x = 3,667.27

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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.