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Finding the Fourth Proportional to 4,894.34, 7,338.76 and 1,606.54

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Solution

The fourth proportional to 4,894.34, 7,338.76 and 1,606.54 is: 2,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.34 : 7,338.76 = 1,606.54 : x
  2. Step 2: Convert to fraction form
    4,894.34/7,338.76 = 1,606.54/x
  3. Step 3: Cross multiply
    4,894.34x = 7,338.76 × 1,606.54
  4. Step 4: Simplify right side
    4,894.34x = 11,790,011.49
  5. Step 5: Solve for x
    x = 11,790,011.49/4,894.34
  6. Step 6: Final answer
    x = 2,408.91

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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.