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Finding the Fourth Proportional to 5,635.98, 8,454.06 and 1,740.39

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Solution

The fourth proportional to 5,635.98, 8,454.06 and 1,740.39 is: 2,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.98 : 8,454.06 = 1,740.39 : x
  2. Step 2: Convert to fraction form
    5,635.98/8,454.06 = 1,740.39/x
  3. Step 3: Cross multiply
    5,635.98x = 8,454.06 × 1,740.39
  4. Step 4: Simplify right side
    5,635.98x = 14,713,361.48
  5. Step 5: Solve for x
    x = 14,713,361.48/5,635.98
  6. Step 6: Final answer
    x = 2,610.61

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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.