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Finding the Fourth Proportional to 5,293.67, 7,941.36 and 1,783.99

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Solution

The fourth proportional to 5,293.67, 7,941.36 and 1,783.99 is: 2,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.67 : 7,941.36 = 1,783.99 : x
  2. Step 2: Convert to fraction form
    5,293.67/7,941.36 = 1,783.99/x
  3. Step 3: Cross multiply
    5,293.67x = 7,941.36 × 1,783.99
  4. Step 4: Simplify right side
    5,293.67x = 14,167,323.44
  5. Step 5: Solve for x
    x = 14,167,323.44/5,293.67
  6. Step 6: Final answer
    x = 2,676.28

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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.