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Finding the Fourth Proportional to 5,635.98, 8,454.78 and 1,740.42

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Solution

The fourth proportional to 5,635.98, 8,454.78 and 1,740.42 is: 2,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.98 : 8,454.78 = 1,740.42 : x
  2. Step 2: Convert to fraction form
    5,635.98/8,454.78 = 1,740.42/x
  3. Step 3: Cross multiply
    5,635.98x = 8,454.78 × 1,740.42
  4. Step 4: Simplify right side
    5,635.98x = 14,714,868.21
  5. Step 5: Solve for x
    x = 14,714,868.21/5,635.98
  6. Step 6: Final answer
    x = 2,610.88

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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.