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Finding the Fourth Proportional to 3,685.32, 5,525.15 and 1,735.65

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Solution

The fourth proportional to 3,685.32, 5,525.15 and 1,735.65 is: 2,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.32 : 5,525.15 = 1,735.65 : x
  2. Step 2: Convert to fraction form
    3,685.32/5,525.15 = 1,735.65/x
  3. Step 3: Cross multiply
    3,685.32x = 5,525.15 × 1,735.65
  4. Step 4: Simplify right side
    3,685.32x = 9,589,717.92
  5. Step 5: Solve for x
    x = 9,589,717.92/3,685.32
  6. Step 6: Final answer
    x = 2,602.14

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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.