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Finding the Fourth Proportional to 4,990.50, 7,485.75 and 1,527.75

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Solution

The fourth proportional to 4,990.50, 7,485.75 and 1,527.75 is: 2,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.50 : 7,485.75 = 1,527.75 : x
  2. Step 2: Convert to fraction form
    4,990.50/7,485.75 = 1,527.75/x
  3. Step 3: Cross multiply
    4,990.50x = 7,485.75 × 1,527.75
  4. Step 4: Simplify right side
    4,990.50x = 11,436,354.56
  5. Step 5: Solve for x
    x = 11,436,354.56/4,990.50
  6. Step 6: Final answer
    x = 2,291.63

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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.