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Finding the Fourth Proportional to 4,573.89, 6,859.22 and 1,975.41

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Solution

The fourth proportional to 4,573.89, 6,859.22 and 1,975.41 is: 2,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.89 : 6,859.22 = 1,975.41 : x
  2. Step 2: Convert to fraction form
    4,573.89/6,859.22 = 1,975.41/x
  3. Step 3: Cross multiply
    4,573.89x = 6,859.22 × 1,975.41
  4. Step 4: Simplify right side
    4,573.89x = 13,549,761.90
  5. Step 5: Solve for x
    x = 13,549,761.90/4,573.89
  6. Step 6: Final answer
    x = 2,962.42

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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.