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Finding the Fourth Proportional to 5,300.61, 7,317.17 and 3,512.80

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Solution

The fourth proportional to 5,300.61, 7,317.17 and 3,512.80 is: 4,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.61 : 7,317.17 = 3,512.80 : x
  2. Step 2: Convert to fraction form
    5,300.61/7,317.17 = 3,512.80/x
  3. Step 3: Cross multiply
    5,300.61x = 7,317.17 × 3,512.80
  4. Step 4: Simplify right side
    5,300.61x = 25,703,754.78
  5. Step 5: Solve for x
    x = 25,703,754.78/5,300.61
  6. Step 6: Final answer
    x = 4,849.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.