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Finding the Fourth Proportional to 3,980.56, 5,492.28 and 2,408.64

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Solution

The fourth proportional to 3,980.56, 5,492.28 and 2,408.64 is: 3,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.56 : 5,492.28 = 2,408.64 : x
  2. Step 2: Convert to fraction form
    3,980.56/5,492.28 = 2,408.64/x
  3. Step 3: Cross multiply
    3,980.56x = 5,492.28 × 2,408.64
  4. Step 4: Simplify right side
    3,980.56x = 13,228,925.30
  5. Step 5: Solve for x
    x = 13,228,925.30/3,980.56
  6. Step 6: Final answer
    x = 3,323.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.