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Finding the Fourth Proportional to 4,657.19, 6,989.42 and 1,735.65

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Solution

The fourth proportional to 4,657.19, 6,989.42 and 1,735.65 is: 2,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.19 : 6,989.42 = 1,735.65 : x
  2. Step 2: Convert to fraction form
    4,657.19/6,989.42 = 1,735.65/x
  3. Step 3: Cross multiply
    4,657.19x = 6,989.42 × 1,735.65
  4. Step 4: Simplify right side
    4,657.19x = 12,131,191.16
  5. Step 5: Solve for x
    x = 12,131,191.16/4,657.19
  6. Step 6: Final answer
    x = 2,604.83

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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.