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Finding the Fourth Proportional to 5,163.95, 7,746.30 and 1,466.48

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Solution

The fourth proportional to 5,163.95, 7,746.30 and 1,466.48 is: 2,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.95 : 7,746.30 = 1,466.48 : x
  2. Step 2: Convert to fraction form
    5,163.95/7,746.30 = 1,466.48/x
  3. Step 3: Cross multiply
    5,163.95x = 7,746.30 × 1,466.48
  4. Step 4: Simplify right side
    5,163.95x = 11,359,755.29
  5. Step 5: Solve for x
    x = 11,359,755.29/5,163.95
  6. Step 6: Final answer
    x = 2,199.82

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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.