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Finding the Fourth Proportional to 4,762.43, 6,568.54 and 4,171.94

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Solution

The fourth proportional to 4,762.43, 6,568.54 and 4,171.94 is: 5,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.43 : 6,568.54 = 4,171.94 : x
  2. Step 2: Convert to fraction form
    4,762.43/6,568.54 = 4,171.94/x
  3. Step 3: Cross multiply
    4,762.43x = 6,568.54 × 4,171.94
  4. Step 4: Simplify right side
    4,762.43x = 27,403,559.59
  5. Step 5: Solve for x
    x = 27,403,559.59/4,762.43
  6. Step 6: Final answer
    x = 5,754.11

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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.