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Finding the Fourth Proportional to 5,182.74, 7,762.38 and 4,004.46

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Solution

The fourth proportional to 5,182.74, 7,762.38 and 4,004.46 is: 5,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.74 : 7,762.38 = 4,004.46 : x
  2. Step 2: Convert to fraction form
    5,182.74/7,762.38 = 4,004.46/x
  3. Step 3: Cross multiply
    5,182.74x = 7,762.38 × 4,004.46
  4. Step 4: Simplify right side
    5,182.74x = 31,084,140.21
  5. Step 5: Solve for x
    x = 31,084,140.21/5,182.74
  6. Step 6: Final answer
    x = 5,997.63

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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.