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Finding the Fourth Proportional to 4,756.42, 7,133.82 and 1,293.67

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Solution

The fourth proportional to 4,756.42, 7,133.82 and 1,293.67 is: 1,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.42 : 7,133.82 = 1,293.67 : x
  2. Step 2: Convert to fraction form
    4,756.42/7,133.82 = 1,293.67/x
  3. Step 3: Cross multiply
    4,756.42x = 7,133.82 × 1,293.67
  4. Step 4: Simplify right side
    4,756.42x = 9,228,808.92
  5. Step 5: Solve for x
    x = 9,228,808.92/4,756.42
  6. Step 6: Final answer
    x = 1,940.28

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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.