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Finding the Fourth Proportional to 5,817.10, 8,725.70 and 1,657.20

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Solution

The fourth proportional to 5,817.10, 8,725.70 and 1,657.20 is: 2,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.10 : 8,725.70 = 1,657.20 : x
  2. Step 2: Convert to fraction form
    5,817.10/8,725.70 = 1,657.20/x
  3. Step 3: Cross multiply
    5,817.10x = 8,725.70 × 1,657.20
  4. Step 4: Simplify right side
    5,817.10x = 14,460,230.04
  5. Step 5: Solve for x
    x = 14,460,230.04/5,817.10
  6. Step 6: Final answer
    x = 2,485.81

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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.