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Finding the Fourth Proportional to 5,740.68, 8,610.84 and 1,636.68

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Solution

The fourth proportional to 5,740.68, 8,610.84 and 1,636.68 is: 2,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.68 : 8,610.84 = 1,636.68 : x
  2. Step 2: Convert to fraction form
    5,740.68/8,610.84 = 1,636.68/x
  3. Step 3: Cross multiply
    5,740.68x = 8,610.84 × 1,636.68
  4. Step 4: Simplify right side
    5,740.68x = 14,093,189.61
  5. Step 5: Solve for x
    x = 14,093,189.61/5,740.68
  6. Step 6: Final answer
    x = 2,454.97

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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.