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Finding the Fourth Proportional to 4,912.50, 7,372.02 and 2,315.64

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Solution

The fourth proportional to 4,912.50, 7,372.02 and 2,315.64 is: 3,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.50 : 7,372.02 = 2,315.64 : x
  2. Step 2: Convert to fraction form
    4,912.50/7,372.02 = 2,315.64/x
  3. Step 3: Cross multiply
    4,912.50x = 7,372.02 × 2,315.64
  4. Step 4: Simplify right side
    4,912.50x = 17,070,944.39
  5. Step 5: Solve for x
    x = 17,070,944.39/4,912.50
  6. Step 6: Final answer
    x = 3,475.00

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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.