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Finding the Fourth Proportional to 5,820.06, 8,729.40 and 1,660.70

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Solution

The fourth proportional to 5,820.06, 8,729.40 and 1,660.70 is: 2,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.06 : 8,729.40 = 1,660.70 : x
  2. Step 2: Convert to fraction form
    5,820.06/8,729.40 = 1,660.70/x
  3. Step 3: Cross multiply
    5,820.06x = 8,729.40 × 1,660.70
  4. Step 4: Simplify right side
    5,820.06x = 14,496,914.58
  5. Step 5: Solve for x
    x = 14,496,914.58/5,820.06
  6. Step 6: Final answer
    x = 2,490.85

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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.