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Finding the Fourth Proportional to 4,852.64, 7,279.00 and 1,930.91

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Solution

The fourth proportional to 4,852.64, 7,279.00 and 1,930.91 is: 2,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.64 : 7,279.00 = 1,930.91 : x
  2. Step 2: Convert to fraction form
    4,852.64/7,279.00 = 1,930.91/x
  3. Step 3: Cross multiply
    4,852.64x = 7,279.00 × 1,930.91
  4. Step 4: Simplify right side
    4,852.64x = 14,055,052.67
  5. Step 5: Solve for x
    x = 14,055,052.67/4,852.64
  6. Step 6: Final answer
    x = 2,896.37

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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.