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Finding the Fourth Proportional to 5,006.94, 6,909.43 and 2,768.67

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Solution

The fourth proportional to 5,006.94, 6,909.43 and 2,768.67 is: 3,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.94 : 6,909.43 = 2,768.67 : x
  2. Step 2: Convert to fraction form
    5,006.94/6,909.43 = 2,768.67/x
  3. Step 3: Cross multiply
    5,006.94x = 6,909.43 × 2,768.67
  4. Step 4: Simplify right side
    5,006.94x = 19,129,931.56
  5. Step 5: Solve for x
    x = 19,129,931.56/5,006.94
  6. Step 6: Final answer
    x = 3,820.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.