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Finding the Fourth Proportional to 5,422.97, 8,130.51 and 3,663.57

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Solution

The fourth proportional to 5,422.97, 8,130.51 and 3,663.57 is: 5,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.97 : 8,130.51 = 3,663.57 : x
  2. Step 2: Convert to fraction form
    5,422.97/8,130.51 = 3,663.57/x
  3. Step 3: Cross multiply
    5,422.97x = 8,130.51 × 3,663.57
  4. Step 4: Simplify right side
    5,422.97x = 29,786,651.87
  5. Step 5: Solve for x
    x = 29,786,651.87/5,422.97
  6. Step 6: Final answer
    x = 5,492.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.