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Finding the Fourth Proportional to 4,749.84, 7,125.84 and 1,789.56

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Solution

The fourth proportional to 4,749.84, 7,125.84 and 1,789.56 is: 2,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.84 : 7,125.84 = 1,789.56 : x
  2. Step 2: Convert to fraction form
    4,749.84/7,125.84 = 1,789.56/x
  3. Step 3: Cross multiply
    4,749.84x = 7,125.84 × 1,789.56
  4. Step 4: Simplify right side
    4,749.84x = 12,752,118.23
  5. Step 5: Solve for x
    x = 12,752,118.23/4,749.84
  6. Step 6: Final answer
    x = 2,684.75

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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.