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Finding the Fourth Proportional to 4,824.34, 7,236.46 and 3,661.49

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Solution

The fourth proportional to 4,824.34, 7,236.46 and 3,661.49 is: 5,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.34 : 7,236.46 = 3,661.49 : x
  2. Step 2: Convert to fraction form
    4,824.34/7,236.46 = 3,661.49/x
  3. Step 3: Cross multiply
    4,824.34x = 7,236.46 × 3,661.49
  4. Step 4: Simplify right side
    4,824.34x = 26,496,225.93
  5. Step 5: Solve for x
    x = 26,496,225.93/4,824.34
  6. Step 6: Final answer
    x = 5,492.20

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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.