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Finding the Fourth Proportional to 4,884.50, 7,326.79 and 1,962.16

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Solution

The fourth proportional to 4,884.50, 7,326.79 and 1,962.16 is: 2,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.50 : 7,326.79 = 1,962.16 : x
  2. Step 2: Convert to fraction form
    4,884.50/7,326.79 = 1,962.16/x
  3. Step 3: Cross multiply
    4,884.50x = 7,326.79 × 1,962.16
  4. Step 4: Simplify right side
    4,884.50x = 14,376,311.04
  5. Step 5: Solve for x
    x = 14,376,311.04/4,884.50
  6. Step 6: Final answer
    x = 2,943.25

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Why These Related Problems?

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