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Finding the Fourth Proportional to 3,705.57, 5,559.80 and 1,397.25

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Solution

The fourth proportional to 3,705.57, 5,559.80 and 1,397.25 is: 2,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.57 : 5,559.80 = 1,397.25 : x
  2. Step 2: Convert to fraction form
    3,705.57/5,559.80 = 1,397.25/x
  3. Step 3: Cross multiply
    3,705.57x = 5,559.80 × 1,397.25
  4. Step 4: Simplify right side
    3,705.57x = 7,768,423.56
  5. Step 5: Solve for x
    x = 7,768,423.56/3,705.57
  6. Step 6: Final answer
    x = 2,096.42

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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.