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Finding the Fourth Proportional to 5,292.22, 7,939.20 and 1,782.54

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Solution

The fourth proportional to 5,292.22, 7,939.20 and 1,782.54 is: 2,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.22 : 7,939.20 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    5,292.22/7,939.20 = 1,782.54/x
  3. Step 3: Cross multiply
    5,292.22x = 7,939.20 × 1,782.54
  4. Step 4: Simplify right side
    5,292.22x = 14,151,941.57
  5. Step 5: Solve for x
    x = 14,151,941.57/5,292.22
  6. Step 6: Final answer
    x = 2,674.10

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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.