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Finding the Fourth Proportional to 3,441.65, 5,162.46 and 1,133.15

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Solution

The fourth proportional to 3,441.65, 5,162.46 and 1,133.15 is: 1,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.65 : 5,162.46 = 1,133.15 : x
  2. Step 2: Convert to fraction form
    3,441.65/5,162.46 = 1,133.15/x
  3. Step 3: Cross multiply
    3,441.65x = 5,162.46 × 1,133.15
  4. Step 4: Simplify right side
    3,441.65x = 5,849,841.55
  5. Step 5: Solve for x
    x = 5,849,841.55/3,441.65
  6. Step 6: Final answer
    x = 1,699.72

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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.