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Finding the Fourth Proportional to 5,294.21, 7,939.28 and 1,783.27

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Solution

The fourth proportional to 5,294.21, 7,939.28 and 1,783.27 is: 2,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.21 : 7,939.28 = 1,783.27 : x
  2. Step 2: Convert to fraction form
    5,294.21/7,939.28 = 1,783.27/x
  3. Step 3: Cross multiply
    5,294.21x = 7,939.28 × 1,783.27
  4. Step 4: Simplify right side
    5,294.21x = 14,157,864.46
  5. Step 5: Solve for x
    x = 14,157,864.46/5,294.21
  6. Step 6: Final answer
    x = 2,674.22

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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.