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Finding the Fourth Proportional to 4,867.29, 7,302.48 and 1,745.16

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Solution

The fourth proportional to 4,867.29, 7,302.48 and 1,745.16 is: 2,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.29 : 7,302.48 = 1,745.16 : x
  2. Step 2: Convert to fraction form
    4,867.29/7,302.48 = 1,745.16/x
  3. Step 3: Cross multiply
    4,867.29x = 7,302.48 × 1,745.16
  4. Step 4: Simplify right side
    4,867.29x = 12,743,996.00
  5. Step 5: Solve for x
    x = 12,743,996.00/4,867.29
  6. Step 6: Final answer
    x = 2,618.29

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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.