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Finding the Fourth Proportional to 4,492.56, 6,730.32 and 2,302.64

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Solution

The fourth proportional to 4,492.56, 6,730.32 and 2,302.64 is: 3,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.56 : 6,730.32 = 2,302.64 : x
  2. Step 2: Convert to fraction form
    4,492.56/6,730.32 = 2,302.64/x
  3. Step 3: Cross multiply
    4,492.56x = 6,730.32 × 2,302.64
  4. Step 4: Simplify right side
    4,492.56x = 15,497,504.04
  5. Step 5: Solve for x
    x = 15,497,504.04/4,492.56
  6. Step 6: Final answer
    x = 3,449.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.