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Finding the Fourth Proportional to 4,167.66, 5,745.38 and 2,573.25

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Solution

The fourth proportional to 4,167.66, 5,745.38 and 2,573.25 is: 3,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.66 : 5,745.38 = 2,573.25 : x
  2. Step 2: Convert to fraction form
    4,167.66/5,745.38 = 2,573.25/x
  3. Step 3: Cross multiply
    4,167.66x = 5,745.38 × 2,573.25
  4. Step 4: Simplify right side
    4,167.66x = 14,784,299.09
  5. Step 5: Solve for x
    x = 14,784,299.09/4,167.66
  6. Step 6: Final answer
    x = 3,547.39

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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.