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Finding the Fourth Proportional to 5,208.41, 7,812.66 and 1,745.66

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Solution

The fourth proportional to 5,208.41, 7,812.66 and 1,745.66 is: 2,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.41 : 7,812.66 = 1,745.66 : x
  2. Step 2: Convert to fraction form
    5,208.41/7,812.66 = 1,745.66/x
  3. Step 3: Cross multiply
    5,208.41x = 7,812.66 × 1,745.66
  4. Step 4: Simplify right side
    5,208.41x = 13,638,248.06
  5. Step 5: Solve for x
    x = 13,638,248.06/5,208.41
  6. Step 6: Final answer
    x = 2,618.51

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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.