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Finding the Fourth Proportional to 5,563.79, 7,669.92 and 4,235.19

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Solution

The fourth proportional to 5,563.79, 7,669.92 and 4,235.19 is: 5,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.79 : 7,669.92 = 4,235.19 : x
  2. Step 2: Convert to fraction form
    5,563.79/7,669.92 = 4,235.19/x
  3. Step 3: Cross multiply
    5,563.79x = 7,669.92 × 4,235.19
  4. Step 4: Simplify right side
    5,563.79x = 32,483,519.87
  5. Step 5: Solve for x
    x = 32,483,519.87/5,563.79
  6. Step 6: Final answer
    x = 5,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.