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Finding the Fourth Proportional to 3,492.96, 4,815.44 and 2,372.16

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Solution

The fourth proportional to 3,492.96, 4,815.44 and 2,372.16 is: 3,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 4,815.44 = 2,372.16 : x
  2. Step 2: Convert to fraction form
    3,492.96/4,815.44 = 2,372.16/x
  3. Step 3: Cross multiply
    3,492.96x = 4,815.44 × 2,372.16
  4. Step 4: Simplify right side
    3,492.96x = 11,422,994.15
  5. Step 5: Solve for x
    x = 11,422,994.15/3,492.96
  6. Step 6: Final answer
    x = 3,270.29

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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.