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Finding the Fourth Proportional to 4,240, 6,360.12 and 1,162

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Solution

The fourth proportional to 4,240, 6,360.12 and 1,162 is: 1,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240 : 6,360.12 = 1,162 : x
  2. Step 2: Convert to fraction form
    4,240/6,360.12 = 1,162/x
  3. Step 3: Cross multiply
    4,240x = 6,360.12 × 1,162
  4. Step 4: Simplify right side
    4,240x = 7,390,459.44
  5. Step 5: Solve for x
    x = 7,390,459.44/4,240
  6. Step 6: Final answer
    x = 1,743.03

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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.