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Finding the Fourth Proportional to 4,507.34, 6,764.64 and 1,912.10

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Solution

The fourth proportional to 4,507.34, 6,764.64 and 1,912.10 is: 2,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.34 : 6,764.64 = 1,912.10 : x
  2. Step 2: Convert to fraction form
    4,507.34/6,764.64 = 1,912.10/x
  3. Step 3: Cross multiply
    4,507.34x = 6,764.64 × 1,912.10
  4. Step 4: Simplify right side
    4,507.34x = 12,934,668.14
  5. Step 5: Solve for x
    x = 12,934,668.14/4,507.34
  6. Step 6: Final answer
    x = 2,869.69

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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.