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Finding the Fourth Proportional to 4,996.33, 7,494.50 and 1,709.45

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Solution

The fourth proportional to 4,996.33, 7,494.50 and 1,709.45 is: 2,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.33 : 7,494.50 = 1,709.45 : x
  2. Step 2: Convert to fraction form
    4,996.33/7,494.50 = 1,709.45/x
  3. Step 3: Cross multiply
    4,996.33x = 7,494.50 × 1,709.45
  4. Step 4: Simplify right side
    4,996.33x = 12,811,464.48
  5. Step 5: Solve for x
    x = 12,811,464.48/4,996.33
  6. Step 6: Final answer
    x = 2,564.18

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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.